using y -3 = 3(x + 1) what is he equation form of a parallel line that passes through 0, -2 ? on the parallel line, what is the ordered pair wehre x = -2? show all steps

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The equation of a line parallel to the line y - 3 = 3(x + 1) and passing through the point (0, -2) has to be determined.

Two parallel lines have equal slope. The line y - 3 = 3(x +1) in slope intercept form is:

y - 3 = 3x + 3

=> y = 3x + 6

The equation of a parallel line passing through (0, -2) is `(y +2)/(x -0) = 3`

=> y + 2 = 3x

=> 3x - y - 2 = 0

At the point where x = -2, y = 3*(-2) - 2 = -8

The equation of the line parallel to y - 3 = 3(x+1) and passing through (0, -2) is 3x - y - 2 = 0. The ordered pair where x = -2 is (-2, -8)

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team