Question

Which function is most likely graphed on the coordinate plane below? What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?
Y=2/3 x +9
Y=-3/2x-4
Y=-3/2 x -13
Y=2/3x-1

Answer 1

Answer:

$y=\frac{-3}{2}x-4$

Step-by-step explanation:

the equation of the line perpendicular to 2x – 3y = 13

It passes through the point (–6, 5)

$2x -3y = 13$

Subtract 2x from both sides

$-3y =-2x+13$

Divide both sides by -3

$y=\frac{2}{3}x-\frac{13}{3}$

Slope = 2/3

Slope of perpendicular lines are negative reciprocal of one another

slope of perpendicular line is $\frac{-3}{2}$

Point (-6,5)

$y-y1=m(x-x1)$

$y-5=\frac{-3}{2}(x+6)$

$y-5=\frac{-3}{2}x-9$

Add 5 on both sides

$y=\frac{-3}{2}x-4$