Question

The equation of line CD is y = 3x - 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3, 1). y = 3x + 0 y = 3x - 8

Answer 1

Answer:
`y = -(1)/(3)x + 2`

Explanation:

Perpendicular lines have opposite slopes, so that the products of their slopes is equal to 1.

Y-intercept form: y = mx + b (m is the slope, b is the y-intercept)

Using
`y = 3x - 3\\`,

m =
`3`

To find the slope of the perpendicular line, flip and change the sign of the original slope.

m(perpendicular line) =
`-(1)/(3)`

We are given a point on the line so, using that, find b (the y-intercept).

`x = 3\\y = 1\\y = -(1)/(3)x + b\\1 = -(1)/(3)(3) + b\\1 = -1 + b\\2 = b`

Using the slope and y-intercept, create your equation in slople-intercept form.

`y = -(1)/(3) x + 2`