Find an equation of the line that satisfies the given conditions. Through (−6, −6); perpendicular to the line passing through (−3, 6) and (1, 4)

Question

Find an equation of the line that satisfies the given conditions.

Through (−6, −6);  perpendicular to the line passing through (−3, 6) and (1, 4)

Answer 1

Let us find the slope of line through (-3,6) and (1,4)

m=rise/run = (-3-1)/(6-4) = -4/2 = -2

Remember for two perpendicular lines with slopes m1 and m2, m1*m2=-1 or m2=1/m1

So the perpendicular line will have slope 1/2

a line with slope m passing through a point (a,b) has the equation y-b=m*(x-a)

Use m=1/2, a=-6, b=-6 see what you get!