Question

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

and passes through the point (-2,-2)?
y = -x + 10
y={x-1
0 y = x + 1

Answer 1

The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--2)=-5/2(x-2)

y+2=-5/2x+10/2

y=-5/2x+5-2

y= -5/2x+3