What is the slope of a line perpendicular to the line whose equation is x + 2 y = 2 x+2y=2. Fully reduce your answer.

Answer 1

The product of slopes of perpendicular lines is -1. The slope of the given line is

m₁ = -1/2

The slope of the perpendicular line is

m₂ = -1/m₁ = -1/(-1/2) = 2

Answer 2

Perpendicular lines will have a SLOPE that is the opposite reciprocal meaning that positive becomes negative and numerators become denominators

The first step is to simplify the equation that you were given into one of your forms.

Standard Form Ax+By=C

Slope Intercept y=mx+b

Point Slope (y-y1)=m(x-x1)

Slope is represented by the variable "m" in these equations.

Because "perpendicular" has to do with slope you can't use Standard Form.

Point slope form is more tedious to get to so I'm going to aim for Slope intercept form.

You will need to work towards Slope Intercept Form (y=mx+b) but I can't help you more than that. Your equation was mistyped. There should only be one equal sign. My guess is that one of those symbols should be "+"

I hope this gets you started!