The description below represents function a and the table represents function b: function a the function is 8 more than 3 times x. function b x y −1 2 0 5 1 8 which statement is correct about the slope and 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.

first option, their slopes are equal but y-intercepts are not equal.

Justification:

1) Function A

The function is 8 more than 3 times x. => y = 8 + 3x

2) Function B

  x     y

−1     2

  0     5

  1     8

3) Slope and y intercept of y = 8 + 3x

That equation is the slope - intercept form of the line.

The general equation is y = mx + b, where m is the slope and b is the y-intercept.

So, in y = 8 + 3x, the slope is 3 and the y-intercept is 8

4) slope of the function B:

slope = rise / run = Δy / Δx

slope = [5 - 2] / [ 0 - (-1) ] = 3 / 1 = 1

Also, slope = [ 8 - 5] / [1 - 0] = 3 / 1 = 3

Also, slope = [ 8 - 2] / [1 - (-1)] = 6 / 2 = 3

So, definetly the points represent a linear function with slope 3.

The y-intercept is the value of y when x = 0. From the table y = 5 when x = 0, so the y - intercept is 5.

5) Summarizing:

Function     slope       y - intercept

A                   3                   8

B                   3                   5

From which you conclude that: their slopes are equal but y-intercepts are not equal.