Answer:
D is correct
Step-by-step explanation:
<em>Step 1 : Find equation of function A in y = mx + c</em>
2 more than 5 times x
f(x) = 2 + 5x or y = 5x + 2
<em>Step 2 : Identify slope and y-intercept of function A</em>
y = mx + c
y = 2 + 5x
Slope = m = 5
Y-intercept = c = 2
<em>Step 3 : Find the equation of function B in y = mx + c</em>
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
<em>Step 4 : Lets write both equations with their slope and y-intercept and check with the statements</em>
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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