Question

LOOK AT IMAGE WORTH 20 points!!!

Answer 1

Answer:

$y=-\frac{2}{3}x+\frac{19}{3}$

Step-by-step explanation:

Lines that are perpendicular to each other have opposite reciprocal slopes. So, in this case, the slope that is perpendicular to 3/2 would be -2/3. In order for the line with that slope to pass (-4,9), we would need to plug in the coordinate point and solve for the y-intercept:

$y=mx+b$

$y=-\frac{2}{3}x+b$

$9=-\frac{2}{3}(-4)+b$

$9=\frac{8}{3}+b$

$\frac{19}{3}=b$

Therefore, the equation in slope-intercept form would be $y=-\frac{2}{3}x+\frac{19}{3}$