find an equation of the line

Question

find an equation of the line that satisfies the given coordinates

through(-6,-10),perpendicular to the points(-3,2) and (1,0)

Answer 1

line through the two points has slope = m = (2-0)/(-3-1) = -2/4 = -1/2

slope of the line through (-6,-10) has the negative inverse of -1/2 or +2/1 = 2

use the point slope formula

y=mx + b

y= 2(x+6)-10

y=2x +12-10

y=2x+2 is the line perpendicular to the line through the two points, and through the point (-6,-10)