Determine the equation of the line with slope, №17887226, 11.05.2022 08:05

Mathematics

Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1

Step-by-step answer

P Answered by PhD

1

3) 3x - y = 1

Step-by-step explanation:

m=3

(y-2) / (x-1) = 3

y-2 = 3(x-1)

y = 3x - 1

Mathematics

Write the following linear equations in slope-intercept form: 1) Slope = 3 and passes through (3, -2) 2) Slope = - 2 and passes through (-5, 0) 3) Slope = 2 and passes through (1, -3) 4) Slope = -4 and passes through (6, -4)

Step-by-step answer

P Answered by PhD

2

1) y = 3x - 11

2) y = -2x - 10

3) y = 2x - 5

4) y = -4x + 20

Mathematics

Write the following linear equations in slope-intercept form: 1) Slope = 3 and passes through (3, -2) 2) Slope = - 2 and passes through (-5, 0) 3) Slope = 2 and passes through (1, -3) 4) Slope = -4 and passes through (6, -4)

Step-by-step answer

P Answered by PhD

2

1) y = 3x - 11

2) y = -2x - 10

3) y = 2x - 5

4) y = -4x + 20

Mathematics

Someone i am so bad at point slope stuff 1) write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). 2)write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). 3) a line passes through the point (-6, 6) and (-6, 2). in two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line. 4)write the point-slope form of the equation of the line that passes through

Step-by-step answer

P Answered by Master

15

1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x

2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69

3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.

4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2

5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2

6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7

7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11

Mathematics

Someone i am so bad at point slope stuff 1) write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). 2)write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). 3) a line passes through the point (-6, 6) and (-6, 2). in two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line. 4)write the point-slope form of the equation of the line that passes through

Step-by-step answer

P Answered by Specialist

15

1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x

2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69

3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.

4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2

5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2

6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7

7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by PhD

The slope is 3.

Step-by-step explanation:

Mathematics

What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ? y+7=−23(x−1) y+7=23(x+1) y−7=23(x−1) y−7=−23(x+1) what is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ? y+2=13(x+6) y−2=13(x−6) y+6=13(x+2) y−6=13(x−2) what is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+4=98(x+1) y−1=89(x−4) y+1=87(x+4) y+1=89(x+4) what is the equation in point-slope form of a line that passes through the points (5, −3)

Step-by-step answer

P Answered by PhD

15

The point-slope form:

y-y_1=m(x-x_1)

1.

$(1,\ -7)\to x_1=1,\ y_1=-7\\\\m=-\dfrac{2}{3}\\\\y-(-7)=-\dfrac{2}{3}(x-1)\\\\\boxed{y+7=-23(x-1)}$

2.

$(-2,\ -6)\to x_1=-2,\ y_1=-6\\\\m=13\\\\y-(-6)=13(x-(-2))\\\\\boxed{y+6=13(x+2)}$

---------------------------------------------------------------

$m=\dfrac{y_2-y_1}{x_2-x_1}$

3.

$(-4,\ -1)\to x_1=-4,\ y_1=-1\\(5,\ 7)\to x_2=5,\ y_2=7\\\\m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\\boxed{y+1=\dfrac{8}{9}(x+4)}$

4.

$(5,\ -3)\to x_1=5,\ y_1=-3\\(-2,\ 9)\to x_2=-2,\ y_2=9\\\\m=\dfrac{9-(-3)}{(-2)-5}=\dfrac{12}{7}\\\\y-(-3)=\dfrac{12}{7}(x-5)\\\\\boxed{y+3=\dfrac{12}{7}(x-5)}$

Mathematics

What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ? y+7=−23(x−1) y+7=23(x+1) y−7=23(x−1) y−7=−23(x+1) what is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ? y+2=13(x+6) y−2=13(x−6) y+6=13(x+2) y−6=13(x−2) what is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+4=98(x+1) y−1=89(x−4) y+1=87(x+4) y+1=89(x+4) what is the equation in point-slope form of a line that passes through the points (5, −3)

Step-by-step answer

P Answered by PhD

15

The point-slope form:

y-y_1=m(x-x_1)

1.

$(1,\ -7)\to x_1=1,\ y_1=-7\\\\m=-\dfrac{2}{3}\\\\y-(-7)=-\dfrac{2}{3}(x-1)\\\\\boxed{y+7=-23(x-1)}$

2.

$(-2,\ -6)\to x_1=-2,\ y_1=-6\\\\m=13\\\\y-(-6)=13(x-(-2))\\\\\boxed{y+6=13(x+2)}$

---------------------------------------------------------------

$m=\dfrac{y_2-y_1}{x_2-x_1}$

3.

$(-4,\ -1)\to x_1=-4,\ y_1=-1\\(5,\ 7)\to x_2=5,\ y_2=7\\\\m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\\boxed{y+1=\dfrac{8}{9}(x+4)}$

4.

$(5,\ -3)\to x_1=5,\ y_1=-3\\(-2,\ 9)\to x_2=-2,\ y_2=9\\\\m=\dfrac{9-(-3)}{(-2)-5}=\dfrac{12}{7}\\\\y-(-3)=\dfrac{12}{7}(x-5)\\\\\boxed{y+3=\dfrac{12}{7}(x-5)}$

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by Specialist

8

1) use change in y/change in x to find the slope from two points:

change in y: 5-2=3

change in x: 0-(-1)=1

3/1=3 is your slope

2) if it is a direct variation, you know as x increases, y increases, both at constant rates

since y is 10 more than x in the example, it will always be 10 more than x

y=x+10 is your equation.

when x=9, y=19

now they could not be reffering to their difference in addition, but their difference in multiplication. In that case, y is 3 times x in the example, so it will always be 3 times x

y=3x is your equation

when x=9, y=27

3) the slope of this line is determined by change in y over change in x:

change in y: 4-4=0

you don't need to calculate the change in x because 0 divided by anything is 0, so that is your slope.

y=0x+b

4=0(1)+b

4=0+b

4=b

y=4 is your equation because 0 times x is zero. this means that it is a horizontal line with a constant y value of 4

4)

y - value of y in a point =slope (x - value of x in a point)

y-(-1)=2/3 * (x-(-3))

y+1=2/3x+2/3(3)

y+1= 2/3x+2

y=2/3x+1

from solving point slope form, you can get to slope intercept form

5) not sure what this question is asking for

- a line?

- an expression equivalent to -1 and 2/3?

both of those aren't possible with the information given

6) parallel means same slope different y intercept

y=5x+b

-1=5(2)+b

-1=10+b

-11=b

y=5x-11

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by PhD

The slope is 3.

Step-by-step explanation:

Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1

Step-by-step answer

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