Question

Write an equation of the line that passes through the given points and is parallel to the given line 1. (4,1);y=-2x+7 2. (0,6);y=5x-3 3. (-5,-2);y=2/3x+1

Answer 1

Answer:

1. The equation would be y = -2x + 9

Step-by-step explanation:

To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that in #1, 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 - 1 = -2(x - 4)

y - 1 = -2x + 8

y = -2x + 9