SOLUTION: Find an equation for the line through the point (−7,6) with x intercept 3. How do i do this problem?

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Question 517625: Find an equation for the line through the point (−7,6) with x intercept 3. How do i do this problem?
Answer by lwsshak3(11628) About Me  (Show Source):
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Find an equation for the line through the point (−7,6) with x intercept 3. How do i do this problem?
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Standard form for an equation of a straight line: y=mx+b, m=slope, b=y-intercept
You have two points to work with:
With x-intercept (3,0)
Thru point (-7,6)
..
m=∆y/∆x=(6-0)/(-7-3)
m=-6/10=-3/5
equation:
y=-3x/5+b
solving for b using coordinates of given point (-7,6)
6=(-3*-7)/5+b
6=21/5+b
30=21+5b
5b=9
b=9/5
equation:
y=-3x/5+9/5