SOLUTION: Find the linear equation in slope intercept or standard form for the following. (7,-2) m=8/7 Thank you. You people are GREAT!! Helping me alot!!!

Algebra ->  Linear-equations -> SOLUTION: Find the linear equation in slope intercept or standard form for the following. (7,-2) m=8/7 Thank you. You people are GREAT!! Helping me alot!!!      Log On


   

Question 389591: Find the linear equation in slope intercept or standard form for the following.
(7,-2) m=8/7 Thank you. You people are GREAT!! Helping me alot!!!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of a line passing through the point (7, -2) and having a slope m+=+8%2F7.
Start with the slope-intercept form:
y+=+mx%2Bb Substitute m+=+8%2F7
y+=+%288%2F7%29x%2Bb Now find b by substituting for x and y the x- and y-coordinates of the given point (7, -2), thus:
-2+=+%288%2F7%29%287%29%2Bb Simplify this and solve for b.
-2+=+8%2Bb Subtract 8 from both sides.
-10+=+b
The final equation becomes:
y+=+%288%2F7%29x-10
Here's the graph of the line:
graph%28400%2C400%2C-15%2C15%2C-14%2C15%2C%288%2F7%29x-10%29