Question

The graph of f is perpendicular to the line whose equation is 9x-8y-24=0 and has the same y-int as this line
Find slope intercept

Answer 1

i got y=-9/8x-3

Answer 2

to start out, but i don't know where to go from here

Answer 3

oh wait yes i do

Answer 4

oh wait no i dont. but i do know the slope is -9/8 and the y int is -3

Answer 5

close, the slope is positive 9/8 but your y-int is correct

\[9x - 8y - 24 = 0\]
\[9x - 8y = 24\]
\[-8y = -9x + 24\]
\[y = \frac{ -9 }{ -8 }x + \frac { 24 }{ -8 }\]
\[y = \frac{ 9 }{ 8 }x - 3\]

Answer 6

Now it told us the y-int of f is the same as this line so we know so far that the graph of f is

y = mx - 3

But we need a m and the line has to be perpendicular to the one given. Well a perpendicular line means its slope is the opposite reciprocal ( flip fraction and make it negative) of the one we know so the graph of f is

y = -8/9x - 3

Answer 7

oh i didn't flip it again, thats what i did wrong. thanks!