Mathematics: Which is a steeper slope -3/4 or -1/2?

Which is a steeper slope -3/4 or -1/2?, №9337036, 31.01.2022 05:40

Mathematics

Will get 1. find the slope of the line: a.) -4 b.) -1/4 c.) 1/4 d.) 4 2. what is the slope of the line? a.) 0 b.) 1 c.) undefined d.) infinity 3. write the equation of a line that is perpendicular to the given line and that passes through the given point. y - 2 = 7/3 ( x + 5 ) ; ( -4 , 9) a. y - 9 = -3/7 ( x - 4) b. y - 9 = 3/7 ( x - 4) c. y - 9 = -3/7 ( x + 4) d. y - 9 = 3/7 ( x + 4) 4. below are the functions of y = |x| and y = |x| - 3. how are the functions related? a. the functions have the same shape. the y-intercept of y = |x| is 0, and the

Step-by-step answer

P Answered by Master

1.) Let's find out the slope. Checking the Graph, locating two coordinate points. Looking at the graph picking (-4,0) and (0,1)

Inserting those points into that slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{1-0}{0-(-4)} \\ m=\frac{1}{4}$

2) According to the second picture. Let's pick two other points. (1,0) and (1,1)

Inserting those points into the formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{1-0}{1-1)} \\ m=\frac{1}{0}$

a)0. False.

Thus it can't be 0, since it's not a constant function, and its line it's not parallel to axis x.

b) 1. False 1≠ 1/0

c) True. This quotient is not defined for the set of Real Numbers.

d) False.

3) In a perpendicular line its slope is given by - $\frac{-1}{m}$ of another line.

In addition to this we need to know the line general equation

$(y-y_{0})=m(x-x_{0})$ .

From this equation y - 2 = 7/3(x + 5) let's get the slope of our perpendicular line: m= -3/7x

The point (-4, 9) will supply the other two points, let's insert them all

y -9=-3/7(x+4)

C)

4)

a) True. Easily checked by looking at the graph interception.

b) False.

c) False

d) False

5)

B) True. Since the y- intercept of y=|x| is 3.

Mathematics

Will get 1. find the slope of the line: a.) -4 b.) -1/4 c.) 1/4 d.) 4 2. what is the slope of the line? a.) 0 b.) 1 c.) undefined d.) infinity 3. write the equation of a line that is perpendicular to the given line and that passes through the given point. y - 2 = 7/3 ( x + 5 ) ; ( -4 , 9) a. y - 9 = -3/7 ( x - 4) b. y - 9 = 3/7 ( x - 4) c. y - 9 = -3/7 ( x + 4) d. y - 9 = 3/7 ( x + 4) 4. below are the functions of y = |x| and y = |x| - 3. how are the functions related? a. the functions have the same shape. the y-intercept of y = |x| is 0, and the

Step-by-step answer

P Answered by Specialist

1.) Let's find out the slope. Checking the Graph, locating two coordinate points. Looking at the graph picking (-4,0) and (0,1)

Inserting those points into that slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{1-0}{0-(-4)} \\ m=\frac{1}{4}$

2) According to the second picture. Let's pick two other points. (1,0) and (1,1)

Inserting those points into the formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{1-0}{1-1)} \\ m=\frac{1}{0}$

a)0. False.

Thus it can't be 0, since it's not a constant function, and its line it's not parallel to axis x.

b) 1. False 1≠ 1/0

c) True. This quotient is not defined for the set of Real Numbers.

d) False.

3) In a perpendicular line its slope is given by - $\frac{-1}{m}$ of another line.

In addition to this we need to know the line general equation

$(y-y_{0})=m(x-x_{0})$ .

From this equation y - 2 = 7/3(x + 5) let's get the slope of our perpendicular line: m= -3/7x

The point (-4, 9) will supply the other two points, let's insert them all

y -9=-3/7(x+4)

C)

4)

a) True. Easily checked by looking at the graph interception.

b) False.

c) False

d) False

5)

B) True. Since the y- intercept of y=|x| is 3.

Mathematics

Test due 12/1 the function f(x) = x − 1 is changed to f(x) = 1 4 x − 1. which describes the effect of the change on the graph of the original function? a) the line will be steeper. b) the line will be less steep. c) line changes from increasing to decreasing. d) line changes from decreasing to increasing. 2) sketch the linear function f(x) = 1 6 (3x + 1). which key feature of the graph is true? a) y-intercept (0, 1) b) x-intercept ( 1 6 , 0) c) x-intercept (− 1 3 , 0) d) y-intercept (0, − 1 6 ) 3) the graph of the line y = 4 is a a) vertical line

Step-by-step answer

P Answered by Master

1

1. f(x) = 1/4x − 1. B)The line will be less steep. The slope is lower now

2. C)x-intercept (−1/3 , 0). Replacing f(x) = 0 we get x = -1/3

3. B)horizontal line with a slope of zero. The slope is 0 because there is no x in the equation.

4. D)Line changes from decreasing to increasing. The slope changed from negative to positive.

5. See first graph attached

6. See second graph attached. g(x) = (1/3)*x

7. C)The rate of change is different, but the y-intercepts are the same. The rate of change of Mike is negative because he withdraws $25 each week. The y-intercepts of Mike is $200 because that was his initial deposit.

8. B)shifts the line 7 units down. f(x-7) translates f(x) 7 units to the right, given the slope is positive ( = 1) then f(x) is translated 7 units down.

9. No graph is shown

10. C)g(x) = x - 3. g(x) = f(x) - 3, so g(x) is f(x) translated 3 units down.

Test due 12/1 the function f(x) = x − 1 is changed to f(x) = 1 4 x − 1. which describes the effect o

Mathematics

Test due 12/1 the function f(x) = x − 1 is changed to f(x) = 1 4 x − 1. which describes the effect of the change on the graph of the original function? a) the line will be steeper. b) the line will be less steep. c) line changes from increasing to decreasing. d) line changes from decreasing to increasing. 2) sketch the linear function f(x) = 1 6 (3x + 1). which key feature of the graph is true? a) y-intercept (0, 1) b) x-intercept ( 1 6 , 0) c) x-intercept (− 1 3 , 0) d) y-intercept (0, − 1 6 ) 3) the graph of the line y = 4 is a a) vertical line

Step-by-step answer

P Answered by Specialist

1

1. f(x) = 1/4x − 1. B)The line will be less steep. The slope is lower now

2. C)x-intercept (−1/3 , 0). Replacing f(x) = 0 we get x = -1/3

3. B)horizontal line with a slope of zero. The slope is 0 because there is no x in the equation.

4. D)Line changes from decreasing to increasing. The slope changed from negative to positive.

5. See first graph attached

6. See second graph attached. g(x) = (1/3)*x

7. C)The rate of change is different, but the y-intercepts are the same. The rate of change of Mike is negative because he withdraws $25 each week. The y-intercepts of Mike is $200 because that was his initial deposit.

8. B)shifts the line 7 units down. f(x-7) translates f(x) 7 units to the right, given the slope is positive ( = 1) then f(x) is translated 7 units down.

9. No graph is shown

10. C)g(x) = x - 3. g(x) = f(x) - 3, so g(x) is f(x) translated 3 units down.

Mathematics

Show all of your work so you can receive full credit. 1) write the equation in slope-intercept form that contains the following point with the given slope. slope= 2 ; (-3, 1) 2) tell me which lines are parallel to each other. -6x + 2y = 8; y = 4; y = 3x; y = 3 3) write the equation in slope-intercept form that contains the following point and is perpendicular to the given line y = -4x + 3; (4, -2) 4) write the equation in slope-intercept form that contains the following two points. (4, -1) (-2, 8) 5) given the equation y = 3x + 5 , write the equation

Step-by-step answer

P Answered by Master

5

1) y= 2x+ 5

2) -6x + 2y = 8; y = 3x;
because when u put the first equation in slope-intercept form the slope will be 3x. Notice parallel line are always the same slope.

3) perpendicular of -4x is 1/4x
y = 1/4x - 3

4. first u find the slope
slope is: -3/2
new find the slope-intercept form
by using the formula y-y1 = m (x - x1)
y = -3/2x + 5

5

Mathematics

Show all of your work so you can receive full credit. 1) write the equation in slope-intercept form that contains the following point with the given slope. slope= 2 ; (-3, 1) 2) tell me which lines are parallel to each other. -6x + 2y = 8; y = 4; y = 3x; y = 3 3) write the equation in slope-intercept form that contains the following point and is perpendicular to the given line y = -4x + 3; (4, -2) 4) write the equation in slope-intercept form that contains the following two points. (4, -1) (-2, 8) 5) given the equation y = 3x + 5 , write the equation

Step-by-step answer

P Answered by Master

5

1) y= 2x+ 5

2) -6x + 2y = 8; y = 3x;
because when u put the first equation in slope-intercept form the slope will be 3x. Notice parallel line are always the same slope.

3) perpendicular of -4x is 1/4x
y = 1/4x - 3

4. first u find the slope
slope is: -3/2
new find the slope-intercept form
by using the formula y-y1 = m (x - x1)
y = -3/2x + 5

5

Mathematics

~asap pt 3 ~ 1) what is the slope-intercept form of x – y = -8? a) y = -x - 8 b) y = -x + 8 c) y = x - 8 d) y = x +8 2) which line is perpendicular to the line with this equation? x – 6y = 15 a) y = 3x - 2 b) 3y = -x - 11 c) y = -6 - 8 d) y = 1/6x + 6 3) which line is parallel to the line with this equation? y = 6x + 5 a) y = 6 b) y = 6x - 7 c) y = 1/6x + 7 d) y = -8 4) which line is parallel to the line with this equation? y – 3 = ¾(x – 5) a) y = 3/4x - 1 b) y - 4 = -2(x + 2) c) y = -2x d) y = 4/3x - 3 5) describe the transformation from the graph

Step-by-step answer

P Answered by Master

4

1) A

2) C

3) B

4) A

5) D

6) C

Mathematics