Question

Find the equation of a straight line passing through point (0,1) which is perpendicular to the line

y= -2x+2

Answer 1

The equation of the line would by y = 1/2x + 1

Explanation:

In order to find this line, we first need to find the slope. Since perpendicular lines have opposite and reciprocal slope, we know the new line will have a slope of 1/2. Using that and the point in point-slope form, we can get the equation.

y - y1 = m(x - x1)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1