Question

The equation below represents Function A and the graph represents Function B:

Function A

f(x) = −2x + 10

Function B (Attached)

Slope of Function B =is 2x slope of function A
Slope of Function A = Slope of function B
Slope of Function A=2x slope of function B
Slope of Function B=-slope of function A

Answer 1

Slope of Function B=-slope of function A

Explanation:

we know that

The slope of the function A is equal to
`mA=-2`

Find the slope of the function B

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(1,-1)\ B(2,1)` -----> see the graph

Substitute the values

`mB=(1+1)/(2-1)`

`mB=2`

therefore

`mB=-mA`

Answer 2

Option 4th is correct

`\text{Slope of Function B} = - \text{Slope of Function A}`

Explanation:

Slope-intercept form:

The equation of line is given by:

y = mx+b

where, m is the slope and b is the y-intercept.

As per the statement:

The equation below represents Function A and the graph represents Function B:

Function A:

`f(x) = -2x+10`

By slope intercept form:

Slope of the function A = -2

Function B:

Consider any two points from the given graph we have;

(0, -3) and (2, 1)

Using slope formula:

`\text{Slope} = (y_2-y_1)/(x_2-x_1)`

Substitute the given values we have;

`\text{Slope} = (1-(-3))/(2-0)`

⇒
`\text{Slope} = (4)/(2)=2`

∴Slope of function B = 2

therefore,

`\text{Slope of Function B} = - \text{Slope of Function A}`