Question

What is the equation of the line that passes through (−2,1) and is perpendicular to the line that passes through the following points: (1,4),(−2,3)?

Answer 1

Answer:

Step-by-step explanation:

For perpendicular lines the product of their slopes is -1.

This is m1*m2=-1.

M =y2-y1/x2-x1

m1=3-4/-2-1=-1/-3=1/3

M1=1/3.

For perpendicular lines m1*m2=-1

hence, 1/3*m2=-1

m2=-3

to find the equation of the perpendicular line; (-2, 1),(x, y)

y-1/x--2=-3

y-1=-3(x+2)=-3x-6

y=-3x-6+1=-3x-5

hence, y=-3x-5