Write an equation of the line passing through the point (2, 3) that is perpendicular to the line 2x + y = 2

Question

Write an equation of the line passing through the point (2, 3) that is perpendicular to the line 2x + y = 2

Answer 1

Rearrange to get Y = -2x + 2

Slope is 2 so perpendicular slope would be the negative reciprocal of -2 which is 1/2.

Now that we have a new slope, we use y=mx+b

Y= (1/2)x +b. Passing thru (2,3)

3 = (1/2)2. + B

B = 2

Final eqn is y= (1/2)x +2