Mingley3sur1ek
Answered

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.

Verified Answer :

texaschic101

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:

The correct option is A.

Step-by-step 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

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{0+1}=3\)

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.

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