Question

Write an equation of the line that is parallel to y=-4x+2 and goes through the point (-4,3)

Answer 1

y = -4x - 13

Explanation:

If a line is parallel to another line, we can conclude that the gradient of both lines are the same. y = -4x + 2 has the gradient of -4. Hence the gradient of the line we need to find is also -4. Then we can use the following formula to find the equation of the line:

(y - y1) = m(x - x1)

where the gradient is m and the line passes through the coordinates (x1,y1). Hence by substituting m = -4 and (-4, 3), we get:

y - 3 = -4(x +4)

y - 3 = -4x - 16

y = -4x-13