Corrected Question
A linear function has a slope of [tex]-\dfrac{7}{9}[/tex] and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation [tex]y+11=-\dfrac{7}{9}(x-18)[/tex] ?
Answer:
(A)It has the same slope and the same y-intercept.
Step-by-step explanation:
First linear function
Slope =[tex]-\dfrac{7}{9}[/tex]
y-intercept =3
Second Linear function
[tex]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[/tex]
Comparing with the slope-intercept form y=mx+c
Slope =[tex]-\dfrac{7}{9}[/tex]
y-intercept =3
Therefore, the two functions has the same slope and the same y-intercept.
The correct option is A
