Find an equation for the line with the given properties

Question

asked Nov 20, 2023 2.2k views

1 Answer

Giuliopime · Answer 1 · 2023-11-26T09:20:08+0000

step 1

Find the slope of the given line

we have

y=-4x-3

so

the slope is m=-4

step 2

Find the slope of the perpendicular line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the perpendicular line is

m=1/4

step 3

Find the equation of the line in slope-intercept form

y=mx+b

we have

m=1/4

point (3,3)

substitute

3=(1/4)(3)+b

solve for b

3=(3/4)+b

b=3-3/4

b=9/4

therefore

y=(1/4)x+9/4