Question

Write an equation parallel to y=2x-4 that passes through the point (-2,4)

Answer 1

Answer:

y = 2x + 8

Step-by-step explanation:

If the lines are parallel.  They will have the same slope.  The slope in this case is 2.  It is the number (coefficient) before the x.

Now we need to find the y intercept.  We will use the slope intercept form of the line y = mx + b, the slope we know and the point we know (-2,4) to help us find the y intercept.

y = mx + b  Substitute in the slope that we know

y = 2x + b  Use the (x,y) form the point given (-2,4) to find b.

4 = 2(-2) + b

4 = -4 + b  Add 4 to both sides

8 = b Now that we know both the slope (m) and the y-intercept (8) we can write the equation

y = mx + b

y = 2x + 8