Write the slope - intercept form of the equation of the line described below through: (-2, 2), perp. to y=x 1

For perpendicular lines, m1m2 = - 1 or m2 = - 1/m1.

Line y = x + 1 has a slope of 1, Hence, the perpendicular line will have a slope of - 1/1 = - 1

Required equation is y - y1 = - 1 (x - x1)

y - 2 = - (x - (-2))

y - 2 = - (x + 2)

y - 2 = - x - 2

y = - x - 2 + 2

y = - x