Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the given equation.

(-5,-6); y= -4x+3
(Write an equation for the line in slope-intercept form.)

Answer 1

y = - 4x +3 when slope is -4

NOTE: Parallel lines have same slope.

For the line passing through point (-5, -6) the slope (m) = -4

Equation of that line:

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

(y --6) = -4(x --5)

(y + 6) = -4(x + 5)

y + 6 = -4x -20

y = -4x -20 -6

y = -4x - 26