Question

What is an equation of the line that passes through the point (-1, -3) and is

Answer 1

Answer:

y = 4x + 1

Step-by-step explanation:

1. Solve given equation for y

4x-y=2

4x=y+2

y=4x-2

2. Parallel in linear equations means the new line will have the same slope, so your new equation so far is

y=4x+b      (formula being used is linear function y=mx+b)

3. (-1,-3) is a coordinate (x,y), so plug those values in for x and y so the only variable in your equation is b, the y-intercept

-3=4(-1)+b     Solve for b

-3=-4+b

1=b

4. Rewrite your new equation with the m and b you now know

y=4x+1