3
QuizMultiple Choice

Comparing Slopes and Intercepts — Quiz

Question 3 • Initial Credit_Technical College Mathematics_2027

A linear function has a slope of negative 7 ninths and a y -intercept of 3 How does this function compare to the linear function that is represented by the equation y plus 11 is equal to negative 7 ninths times open paren x minus 18 close paren ?

Answer
A
It has the same y -intercept and a different slope.
B
It has the same slope and a different y -intercept.
C
It has a different slope and a different y -intercept.
D
It has the same slope and the same y -intercept.

Explanation

The first function has slope −7/9 and y-intercept 3. In the given equation, setting x = 0 gives y + 11 = (−7/9)(−18) = 14, so y = 3; its slope is also −7/9. Therefore, it has the same slope and the same y-intercept, which is choice D.

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