Graph the equation.
y-1=-2(x-5)

Step-by-step explanation:

y - 1 = -2(x - 5)

Distribute -2 into the parenthesis:

y - 1 = -2x + 10

Add 1 to both sides:

y - 1 + 1 = -2x + 10 + 1

y = -2x + 11 (This is the slope-intercept form where the slope, m = -2, and the y-intercept, b = 11).  

Using the slope (m = -2) and the coordinates of the y-intercept, (0, 11):

Plot the y-intercept on the graph. Then, use the slope's "rise over run" technique (2 units down, and 1 unit to the right) to plot other points.  Connect the points by drawing a line over them.

Attached is a screenshot of the graph that I created using the techniques provided in this post.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )