Equation of a line

Question

Find the equation using point slope formula. Write the equation using slope intercept formula. Perpendicular to 8y=x-4 and passes through the point (-2,15)

Answer 1

The product of slopes of perpendicular lines is -1. The slope of the given line is 1/8, so the slope of the perpendicular line is -8.

In point slope form,

y - 15 = -8[x - (-2)]

y -15 = -8(x + 2)

In slope intercept form,

y = -8x + b

Find b from the given point.

15 = -8(-2) + b

b = -1

y = -8x - 1