Question

The description below represents Function A and the table represents Function B:

Function A

The function is 5 more than 3 times x.

Function B

x y
−1 2
0 5
1 8

Which statement is correct about the slope and y-intercept of the two functions? (1 point)



Their slopes are equal but y-intercepts are not equal.

Their slopes are not equal but y-intercepts are equal.

Both slopes and y intercepts are equal.

Neither slopes nor y-intercepts are equal.

Answer 1

the slope and y-intercept are equal

Explanation:

Answer 2

Their slopes are not equal but y-intercepts are equal.

Explanation:

Function A is written as an equation as y = 3x+5. Its slope is 3 and y-intercept is 5.

Function B's y-intercept is (0,5) since that is where x=0. When the line crosses the y-axis, the x value must be 0.

To find the slope of Function B, use the slope formula
`m=(y_2-y_1)/(x_2-x_1)`.

`m=(5-2)/(0--1)=(3)/(0+1)= (3)/(1)=3`

The slope of function B is 3.

The y-intercepts of A and B are equal but their slopes are not.