Question

Write an equation of the line that passes through point P and is parallel to the line with the given equation:

P(3,5); y=2x-6

Answer 1

y = 2x -1

Explanation:

The line y = 2x - 6 is in slope-intercept form, so the slope = 2. The line you are looking for is parallel, hence also has a slope of 2.

Now, use the point-slope form of a line
`y - y_(1) = m(x - x_(1) )`

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x -1