Question

What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 4x−y=2?

Answer 1

Answer: y = 4x + 1

Step-by-step explanation:

1. Make the equation its parallel to in slope intercept form by subtacting 4x to get -y = -4x+ 2 then dividing both sides by -1 to get y = 4x -2

When dealing with parallel lines thier slopes are ALWAYS the same, so the equation we are making should have the slope of 4.

2. Plug in the corrordinates x and y values and the slope into the point-slope form equation to find the y intercept

(y - (-3)) = 4(x - (-1))

3. Solve for y in slope intercept form:

y + 3 = 4x + 4 ----> y = 4x + 1