Question

Write an equation in slope – intercept form for the line that passes through the given paint andis perpendicular to the given equation.8.(4, -2), y = 3x + 5

Answer 1

First find the slope of the line

Slope is the inclination of the line , its the m in the equation

y= mx + b

so then in y = 3x + 5 the slope is 3

now we have to find the perpendicular slope n.

To find perpendicular use the formula

m•n = -1

so then n = -1/m = -1/3

then the equation of perpendicular is

y = -1/3x + C

now find C

C = y + 1/3x

and replace x,y by the point ( 4,-2)

so then C = -2 + 4/3= -2/3

finally the perpendicular equation is

y = -1/3 x -2/3