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

Algebra ->  Linear-equations -> 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      Log On


   

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) About Me  (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 y=-3x%2B1 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.

y=-3x%2Bb

1=-3%2A%28-2%29%2Bb

1=6%2Bb

Subtract 6 from both sides of the equation

1-6=6%2Bb-6

-5=b

b=-5

Step 3. Now that we have slope m=-3 and the y-intercept b=-5, then the equation y=mx%2Bb becomes y=-3x-5

Step 4. ANSWER y=-3x-5

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 y=-3x-5 and

the green line is described as y=-3x%2B1.

graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3x-5%2C+-3x%2B1+%29

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J