Question

Richard cuts apiece of wood for a project. The first cut is shown and can be represented by the equation y=1/2+2. the second cut needs to be parallel too the first.It will pass through the point (0,-7). Identify the equation that represents Richards second cut.

Answer 1

I'm assuming the equation is y = 1/2x + 2

The equation you will be using is:

y = mx + b

For the equation to be parallel to the given/first equation, the slopes have to be the same. The first equation's slope is 1/2, so the second equation's slope is also 1/2.

y = 1/2x + b

To find "b", you plug in the point (0, -7) into the equation.

y= 1/2x + b

-7 = 1/2(0) + b

-7 = b

Now that you know b, you can plug it in. Your equation is:

y = 1/2x - 7