SOLUTION: find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?

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Question 214710: find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?
Answer by drj(1380) About Me  (Show Source):
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Find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?

Step 1. Your problem will express your equation in terms of the y-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b) when x=0 and y=b.

Step 2. For m=-6, then y=-6x+b. Substitute (1,7) or x=1 and y=7 to find b.

y=-6x%2Bb

7=-6%2A1%2Bb

7=-6%2Bb

Add 6 to both sides to solve for b

7%2B6=-6%2Bb%2B6

13=b

b=13

Step 3. ANSWER: The equation of the line is y=-6x+13

graph%28400%2C400%2C-10%2C10%2C+-20%2C20%2C+-6x%2B13%29

Note from the graph the slope m=-6 and the y-intercept at 13 as well as going through point (1,7)

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J