Question

Write an equation for the line parallel to the given line that contains C

C (2,6); y= -2x +3

Y= __

Answer 1

The equation would be y = -2x + 10

Explanation:

To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that we have a slope of -2 in the original line, therefore the parallel line will also have a slope of -2. Now we can use this and the given point to find the line using point-slope form.

y - y1 = m(x - x1)

y - 6 = -2(x - 2)

y - 6 = -2x + 4

y = -2x + 10