Question

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?

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

function A : slope = 3 and y intercept = 8

function B : (-1,2)(0,5)
slope = (5 - 2) / (0 - (-1) = 3

y = mx + b
5 = 3(0) + b
5 = b
equation is : y = 3x + 5.....slope is 3, y intercept is 5

so...slopes are equal, but y intercepts are not

Answer 2

The correct option is A.

Explanation:

The function A is defined as 8 more than 3 times x.

`A(x)=3x+8`

The slope intercept form of a linear function is

`y=mx+b`

Where, m is slope and b is y-intercept.

Therefore slope of function A is 3 and y-intercept is 8.

The function B is passing through the points (-1,2), (0,5) and (1,8).

Choose any two points from the given points and find the slope of the function.

Slope of function B is

`m=(y_2-y_1)/(x_2-x_1)=(5-2)/(0+1)=3`

Therefore slope of function B is 3 and y-intercept is 5.

Since their slopes are equal but y intercepts are not equal, therefore option A is correct.