Question

Write an equation in slope-intercept form for the line parallel to the given line

that passes through the given point.
y = - 4x + 5, (0,4)
A. Y= -4x + 4
B. y = -1/4x + 4
C. Y= 1/4x + 4
D. Y= 4x + 4

Answer 1

Answer: y = -4x+4 (choice A)

===========================================================

Step-by-step explanation:

The given equation y = -4x+5 has a slope of -4. Compare it to y = mx+b and m is the slope.

Parallel lines have equal slopes, but different y intercepts. The answer will have a slope of -4.

The point we want the answer to go through is (x1,y1) = (0,4)

We'll plug the following values

• m = -4
• x1 = 0
• y1 = 4

into the point slope formula below. Solve for y.

y - y1 = m(x - x1)

y - 4 = -4(x - 0)

y - 4 = -4x

y = -4x+4 which is choice A