SOLUTION: Find the equation of each line in y=mx+b form (-3,5) slope 1/5

Algebra ->  Linear-equations -> SOLUTION: Find the equation of each line in y=mx+b form (-3,5) slope 1/5      Log On


   

Question 216122: Find the equation of each line in y=mx+b form (-3,5) slope 1/5
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of each line in y=mx+b form (-3,5) slope 1/5

Step 1. The equation of the line given as y=mx+b is the slope-intercept form where m is the slope at b is the y-intercept when x=0 or at point (0,b).

Step 2. Since the slope is m=1%2F5, we have y=1%2Ax%2F5%2Bb. To get the y-intercept b, substitute x=-3 and y=5 since this line passes through the point (-3,5).

5=-3%2F5%2Bb

Multiply 5 to both sides to get rid of denominator.

5%2A5=-3%2B5b

25=-3%2B5b

Add 3 to both sides of the equation

25%2B3=-3%2B5b%2B3

28=5b

Divide 5 to both sides of the equation

28%2F5=5b%2F5

b=28%2F5

Step 3. ANSWER: The equation is y=x%2F5%2B28%2F5

The graph is shown below. Note the y-intercept at x=0 and the slope of 1/5 which means five units to the left, then one unit up.

graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F5%2B28%2F5+%29

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