Write the equation of the line that is parallel to the line 7-4x=7y through the point (2,0)

Question

A y=-4/7x+8/7

B. Y=-4/7x-8/7

C. Y=8/7x-4/7

D. Y=-4/7x+7/8

Answer 1

Step 1: Determine the slope of the line given

To do this, manipulate the equation 7 - 4x = 7y to get it into the form y = mx + b. Then the slope will be the number in front of the "x" (the "m"). In this case, just divide both sides by 7 to get 7/7 - 4/7x = 7/7y or 1 - 4/7x = y so y = -4/7x + 1. The slope is -4/7.

Step 2. Determine the slope of the line parallel to the given line.

The slope is -4/7. Parallel lines have the same slopes.

Step 3: Find the rst of the equation of the line

The geberic equation for the line is y = mx + b. You know the slope (m), so plug it in. That gives you y = -4/7x + b. Now, you just need to find "b" and you'll be done. To do that, plug in the x and y from the point they told you was on the line (2, 0) so x = 2 and y = 0. The makes the equation (y = -4/7x + b) turn into 0 = -4/7(2) + b. Now, solve for b.

0 = -4/7(2) + b

0 = -8/7 + b

b = 8/7

Now, plug b = 8/7 into your equation y = -4/7x + b to get:

y = -4/7x + 8/7 (answer A)