Question

A linear function has a slope of

Answer 1

Corrected Question

A linear function has a slope of  $-\dfrac{7}{9}$ and a y-intercept of 3. How does this function compare to the linear function that is represented  by the equation $y+11=-\dfrac{7}{9}(x-18)$ ?

Answer:

(A)It has the same slope and the same y-intercept.

Step-by-step explanation:

First linear function

Slope =$-\dfrac{7}{9}$

y-intercept =3

Second Linear function

$y+11=-\dfrac{7}{9}(x-18)\\y=-\dfrac{7}{9}(x-18)-11\\y=-\dfrac{7}{9}x+(-\dfrac{7}{9})(-18)-11\\y=-\dfrac{7}{9}x+14-11\\y=-\dfrac{7}{9}x+3$

Comparing with the slope-intercept form y=mx+c

Slope =$-\dfrac{7}{9}$

y-intercept =3

Therefore, the two functions has the same slope and the same y-intercept.

The correct option is A