Write the equation of a line perpendicular to 2x+y=1 that passed through (-1,2)

Question

Please help. I don't know what the equation will be. Thank you very much for the answers

Answer 1

First, we need to rewrite the equation in slope-intercept form.

y=-2x+1

Perpendicular lines have opposite inverse slopes

slope of new line = +1/2

Our new line is starting to look like: y=1/2x+b

So now we end the points for x and y (-1,2) into our equation

2=1/2(-1) + b

b=2 1/2

finally replace b into our new equation

y=1/2x + 2 1/2