SOLUTION: Find the eqiuation of the line with x-intercept 12 ,and y-intercept 4

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Find the eqiuation of the line with x-intercept 12 ,and y-intercept 4      Log On

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Question 74917: Find the eqiuation of the line with x-intercept 12 ,and y-intercept 4
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
The x-intercept can be written as point (12,0) and the y-intercept can be written as (0,4).
If you use the slope-intercept form for a line (y=mx%2Bb), then you must find m, which is the slope, and b, which is the y-intercept.
To find m, use the formula %28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29.
Plug the points in:
%280-4%29%2F%2812-0%29=-1%2F3
Now that you have the value of m and you have the value of b given to you in the question (4), you can plug the numbers into the slope-intercept formula for the equation of your line.
y=-%281%2F3%29x%2B4
That line graphed would look like:
graph%28500%2C500%2C-15%2C15%2C-15%2C15%2C-%281%2F3%29x%2B4%29
Hope this helps!