SOLUTION: answer this problem step by step:wright an equation for eac line. then graph the line. through (-2,1) and parallel to y = -3 + 1

Question 216107: answer this problem step by step:wright an equation for eac line. then graph the line. through (-2,1) and parallel to y = -3 + 1
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
answer this problem step by step:wright an equation for eac line. then graph the line. through (-2,1) and parallel to y = -3x + 1

Step 1. The line is in slope-intercept form given as y=mx+b where m is the slope and y-intercept is b at point (0,b). For this example, m=-3 and b=1.

Step 2. Parallel lines have the same slope. So m=-3. Now we need to pass this line through (-2,1) or x=-2 and y=1. Then, to find b the y-intercept for this line substitute x and y values into the equation y=-3x+b (this is the line parallel to y=-3x+1.

Subtract 6 from both sides of the equation

Step 3. Now that we have slope and the y-intercept , then the equation becomes

Step 4. ANSWER

The graph of the two parallel lines is shown below and note the y-intercepts to determine which line is which.

You should observe that the red line is described as and

the green line is described as .

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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