Question

which of the following is the correct point-slope equation for the line that passes through the point (2,-5) and is parallel to the line given by y=-4x 25

A y-20=-4(x-2)
B y-20=-4x-2
C y -5=-4(x+2)
D y+5=-4(x-2)

Answer 1

Answer:

The equation of the line would be d) y + 5 = -4(x - 2)

Step-by-step explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of -4, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 5 = -4(x - 2)