Question

Find the equation of the line passing through (-2, -1) and
perpendicular to the line y=x.​

Answer 1

The equation of the line in the slope-intercept form is

y = x

The slope of the perpendicular line is negative inverse

m = −1

So, the equation of the perpendicular line is

y = -x + a

To find a, we use the fact that the line should pass through the given point

−1 = (−1) * (−2) + a

−1 = 2 + a

a = − 3

Therefore, the equation of the line is

y = −x − 3

Hope this will help.