Question

Find the equation of the line which passes through (-4,3)and parallel to line y=2x+5

Answer 1

Answer:

Step-by-step explanation:

To find the equation, you are given a point, (4,-5) and the slope of another equation

The question asks for a parallel slope. Parallel means the same, so your slope for the new equation will be (2).

Now, you have to find the equation. Because you have your two points and the new slope, you will use point-intercept form:

y - y1 = m (x - x1)

Your next step is to plug in the variables you already have.

Y - (-5) = 2 (x - 4)

Now simply.

Y + 5 = 2x - 8

The 2(x-4) became 2x - 8 because you used the distributive property.

Your next step is to isolate the Y on one side of the equation. To do this, subtract 5 from both sides.

Y = 2x -8 -5

This then simplifies to:

Y= 2x-13

This will be your final answer. The equation is parallel to y=2x-8 and passes through the point (4,-5).