which equation represents the line passing through the points (4,-16) and is perpendicular to the line y=-2/3x+8? please help

Question

anonymous · Answer

$$y=-\frac{ 2 }{ 3 }x+8$$

mrdoe · Answer

so to get the perpendicular line, you take the negative inverse of the slope in your first equation.  so m=-2/3 ---> m=3/2 for the perpendicular line.  so now just shift the line up or down until it passes through the point you want.

zehanz · Answer

The product of the slopes of perpendicular lines is -1. 
So if the first line has slope -2/3, the second has slope 3/2, because -2/3 * 3/2 = -1

zehanz · Answer

Once you have the slope, here 3/2, you fill in the coordinates of (4, -16) in the formula 

y= 3/2 *x + b. 

This will give you the number b.

anonymous · Answer

so the answer will be $$y=\frac{ 2 }{ 3 }x-22$$

zehanz · Answer

Right!