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20 August, 04:17

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

Function A

The function is 2 more than 5 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?

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

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

C) Both slopes and y-intercepts are equal.

D) Neither slopes nor y-intercepts are equal.

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Answers (1)
  1. 20 August, 04:42
    0
    D is correct

    Step-by-step explanation:

    Step 1 : Find equation of function A in y = mx + c

    2 more than 5 times x

    f (x) = 2 + 5x or y = 5x + 2

    Step 2 : Identify slope and y-intercept of function A

    y = mx + c

    y = 2 + 5x

    Slope = m = 5

    Y-intercept = c = 2

    Step 3 : Find the equation of function B in y = mx + c

    From my understanding, the number given in the question are coordinates

    (-1, 2), (0, 5), (1, 8)

    Slope = y2-y1/x2-x1

    Lets take two coordinates : (-1, 2), (0, 5)

    Slope = 5-2/0 - (-1)

    Slope = 3/1 = 3

    For y-intercept

    Lets take (1, 8)

    y = mx + c

    8 = 3 (1) + c

    c = 5

    The equation is f (x) = 3x + 5 or y = 3x + 5

    Step 4 : Lets write both equations with their slope and y-intercept and check with the statements

    y = 5x + 2

    y = 3x + 5

    A) Their slopes are equal but y-intercepts are not equal. Incorrect

    B) Their slopes are not equal but y-intercepts are equal. Incorrect

    C) Both slopes and y-intercepts are equal. Incorrect

    D) Neither slopes nor y-intercepts are equal. Correct

    !
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