SOLUTION: Find the equation of the line passing through the points (-1,2) and (3,-4). Give the equation in slope-intercept form and express non-integer numbers in fractional form.

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line passing through the points (-1,2) and (3,-4). Give the equation in slope-intercept form and express non-integer numbers in fractional form.      Log On


   

Question 323857: Find the equation of the line passing through the points (-1,2) and (3,-4).
Give the equation in slope-intercept form and express non-integer numbers in fractional form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope first,
m=%28y2-y1%29%2F%28x2-x1%29=%28-4-2%29%2F%283-%28-1%29%29=-6%2F4=-3%2F2
Then use the slope-intercept form of a line, y=mx%2Bb
y=-%283%2F2%29x%2Bb
Use either point to solve for b,
2=-%283%2F2%29%28-1%29%2Bb
b%2B3%2F2=2
b=1%2F2
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highlight%28y=-%283%2F2%29x%2B1%2F2%29
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2y=-3x%2B1
3x%2B2y=1
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