Question

Given 4x – 8y = 8:

a. Transform the equation into slope-intercept form.
b. Find the slope and y-intercept of the line.
c. Find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (1, 2).

Answer 1

4x - 8y = 8
a. slope - intercept form y = mx + b
subtract 4x from both sides.
-8y = - 4x + 8
divide both sides by -8
y = (-4x/-8) (8/-8)
y = 1/2x - 1

b. slope (m) = 1/2
y - intercept (b) = -1

c. perpendicular slope = -2
point ( 1,2)
point-slope formula y - y1 = m(x - x1)
y - 2 = -2(x - 1)