Question

Look at image worth 20 pointd help!!

Answer 1

Answer:

$y=-\frac{9}{7}x-2$

Step-by-step explanation:

Here, we have to convert the equation to slope-intercept form so we can find the perpendicular slope:

$7x-9y=-5$

$-9y=-5-7x$

$y=-\frac{5}{9}+\frac{7}{9}x$

$y=\frac{7}{9}x-\frac{5}{9}$

Since our slope is $m=\frac{7}{9}$, then that means the slope perpendicular to it is $m=-\frac{9}{7}$.

Now we find our new y-intercept so that the line will pass through the point (-7,7):

$y=mx+b$

$y=-\frac{9}{7}+b$

$7=-\frac{9}{7}(-7)+b$

$7=9+b$

$-2=b$

Therefore, the equation of the new line is $y=-\frac{9}{7}x-2$