Question

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

Answer 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