Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

y = x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

= - = - =

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = x + 1 ← equation of perpendicular line

-2

7 - 9 = -2

reversed:

-2 + 9 = 7