(2,3) (4,7) Slope intercept form, №18010444, 05.09.2020 07:50

Mathematics

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P Answered by Specialist

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-3=2x-4\implies y=2x-1$

Mathematics

1) What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)? y = -3 x -5 y = 3 x -5 y = -3 x + 5 y = 3 x + 5 2) Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form? Calculate 8-(-4)/-1-5 + 12/-6 + -2 Calculate -1-5/8-(-4) + -6/12 + -1/2 Find that the point at which the line intersects with the line y = 0 is (3, 0). Find that the point at which the line intersects with the line x = y is (2, 2). 3)What is the equation

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P Answered by PhD

22

The answer to your question is below

Step-by-step explanation:

1)

slope = (17 - 11) / (4 - 2)

= 6 / 2

= 3

Equation

y - y1 = m(x - x1)

y - 11 = 3(x - 2)

y = 3x - 6 + 11

y = 3x + 5

2) Calculate the slope (first option)

Calculate (8-(-4))/-1 - 5 = 12/-6 = -2

3)

Slope = 4

Point = (4, 32)

y -y1 = m(x - x1)

y - 32 = 4(x - 4)

y - 32 = 4x - 16

y = 4x - 16 + 32

y = 4x + 16

4)

First choice

5)

slope = (-10 + 1)/(5 - 2)

= -9/3

= -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 6 - 1

y = -3x + 5

Mathematics

1) What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)? y = -3 x -5 y = 3 x -5 y = -3 x + 5 y = 3 x + 5 2) Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form? Calculate 8-(-4)/-1-5 + 12/-6 + -2 Calculate -1-5/8-(-4) + -6/12 + -1/2 Find that the point at which the line intersects with the line y = 0 is (3, 0). Find that the point at which the line intersects with the line x = y is (2, 2). 3)What is the equation

Step-by-step answer

P Answered by PhD

22

The answer to your question is below

Step-by-step explanation:

1)

slope = (17 - 11) / (4 - 2)

= 6 / 2

= 3

Equation

y - y1 = m(x - x1)

y - 11 = 3(x - 2)

y = 3x - 6 + 11

y = 3x + 5

2) Calculate the slope (first option)

Calculate (8-(-4))/-1 - 5 = 12/-6 = -2

3)

Slope = 4

Point = (4, 32)

y -y1 = m(x - x1)

y - 32 = 4(x - 4)

y - 32 = 4x - 16

y = 4x - 16 + 32

y = 4x + 16

4)

First choice

5)

slope = (-10 + 1)/(5 - 2)

= -9/3

= -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 6 - 1

y = -3x + 5

Mathematics

WILL GIVE BRAINLIEST 1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot. a. What is the explanatory variable (independent variable)? (1 point) b. What is the response variable (dependent variable)? (1 point) c. Circle the best range for the correlation coefficient. (1 point) (–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0) d. Based on this scatterplot, does a rise in temperature

Step-by-step answer

P Answered by Master

2

Step-by-step explanation:

WILL GIVE BRAINLIEST

1. A department store kept records of how many fans were sold each day and the

Mathematics

WILL GIVE BRAINLIEST 1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot. a. What is the explanatory variable (independent variable)? (1 point) b. What is the response variable (dependent variable)? (1 point) c. Circle the best range for the correlation coefficient. (1 point) (–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0) d. Based on this scatterplot, does a rise in temperature

Step-by-step answer

P Answered by Specialist

2

Step-by-step explanation:

Mathematics

Write the equation of the line in slope intercept form that passes through the given points (0,1) and (4,10) write the equation of the line in slope intercept form that passes through the given points (4,7) and ( -1,-13) write the equation of the line in slope intercept form that passes through the given points (17/36, 1/3) and (20/36,0) write the equation of the line in point slope form that passes through the given points (-2,4) and (-4,2) pleas hurr

Step-by-step answer

P Answered by Specialist

1

y=2.25x +1

y=4x-9

i dont know about this one

y=x+6

Step-by-step explanation:

Mathematics

HELP ASAP (Geometry) 1. (06.02 LC) An equation of a given line is y = −2x + 7. Which of the following could be an equation for a line that is parallel to the given line? (6 points) y = − 1 over 2 x − 3 y = 2x − 3 y = 1 over 2 x − 3 y = −2x − 3 2. (06.01 LC) The following set of coordinates represents which figure? (−5 ,2), (−3, 4), (1, 0), (−1, −2) (6 points) Rhombus Kite Rectangle Square 3. (06.02 MC) Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 1). Line AB is shown. A is

Step-by-step answer

P Answered by PhD

1) y = 1 over 2 x − 3;
2) Rhombus;
3) y = 0.5x + 2.5;
4) 2.7;
5) square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared;
6) 5 over 8;
7) 13.4 units;
8) 8 square units;
9) Two slopes of triangle ABC are opposite reciprocals;
10) y − 5 = −4(x − (−1)).

Mathematics

Writing a linear equation. Write an equation in slope intercept form of the line that is segment bisected of both AB and CD Endpoints of each segment A(-2,2) B (2,4) C(-2,-3) and D (4,-7) Use midpoint area for AB and CD then use coordinates of both MP to write an equation in slope-intercept form of the line that passed through the midpoints

Step-by-step answer

P Answered by PhD

2

9514 1404 393

y = -8x +3

Step-by-step explanation:

We don't need the midpoint formula to find the midpoints. We can count grid squares.

B is 2 up from A, and right 4. So, the midpoint of AB is 1 up and right 2 from A, or point (0, 3).

D is down 4 from C, and right 6. So, the midpoint of CD is down 2 and right 3 from C, or point (1, -5).

The vertical difference between the first midpoint and the second is -8. The horizontal difference is +1, so the slope of the line between the midpoints is ...

m = rise/run = -8/1 = -8

The first midpoint is the y-intercept of the line, so the equation of the line is ...

y = -8x +3

If you want to use all of the appropriate formulas, you can. The midpoint formula is ...

M = ((x1, y1) +(x2, y2))/2 = (x1 +x2, y1 +y2)/2

M = (A +B)/2 = ((-2, 2) +(2, 4))/2 = (0, 6)/2 = (0, 3)

N = (C +D)/2 = ((-2, -3) +(4, -7))/2 = (2, -10)/2 = (1, -5)

The slope of line MN is ...

m = (y2 -y1)/(x2 -x1) = (-5 -3)/(1 -0) = -8/1 = -8

The point-slope equation is ...

y -y1 = m(x -x1)

y -3 = -8(x -0)

y = -8x +3 . . . . . . add 3 to put into slope-intercept form

Mathematics

Write the equation of the line in slope intercept form that passes through the given points (0,1) and (4,10) write the equation of the line in slope intercept form that passes through the given points (4,7) and ( -1,-13) write the equation of the line in slope intercept form that passes through the given points (17/36, 1/3) and (20/36,0) write the equation of the line in point slope form that passes through the given points (-2,4) and (-4,2) pleas hurr

Step-by-step answer

P Answered by Master

1

y=2.25x +1

y=4x-9

i dont know about this one

y=x+6

Step-by-step explanation:

Mathematics

Writing a linear equation. Write an equation in slope intercept form of the line that is segment bisected of both AB and CD Endpoints of each segment A(-2,2) B (2,4) C(-2,-3) and D (4,-7) Use midpoint area for AB and CD then use coordinates of both MP to write an equation in slope-intercept form of the line that passed through the midpoints

Step-by-step answer

P Answered by PhD

2

9514 1404 393

y = -8x +3

Step-by-step explanation:

We don't need the midpoint formula to find the midpoints. We can count grid squares.

B is 2 up from A, and right 4. So, the midpoint of AB is 1 up and right 2 from A, or point (0, 3).

D is down 4 from C, and right 6. So, the midpoint of CD is down 2 and right 3 from C, or point (1, -5).

The vertical difference between the first midpoint and the second is -8. The horizontal difference is +1, so the slope of the line between the midpoints is ...

m = rise/run = -8/1 = -8

The first midpoint is the y-intercept of the line, so the equation of the line is ...

y = -8x +3

If you want to use all of the appropriate formulas, you can. The midpoint formula is ...

M = ((x1, y1) +(x2, y2))/2 = (x1 +x2, y1 +y2)/2

M = (A +B)/2 = ((-2, 2) +(2, 4))/2 = (0, 6)/2 = (0, 3)

N = (C +D)/2 = ((-2, -3) +(4, -7))/2 = (2, -10)/2 = (1, -5)

The slope of line MN is ...

m = (y2 -y1)/(x2 -x1) = (-5 -3)/(1 -0) = -8/1 = -8

The point-slope equation is ...

y -y1 = m(x -x1)

y -3 = -8(x -0)

y = -8x +3 . . . . . . add 3 to put into slope-intercept form

(2,3) (4,7)
Slope intercept form

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