Question 623146: Find the equation of the line that passes through two points (1,-2) and (-3,4). Write your answer in standard form Ax + By = C where A,B, and C are real numbers.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of the line that passes through two points (1,-2) and (-3,4). Write your answer in standard form Ax + By = C where A,B, and C are real numbers.
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equation for a straight line: y=mx+b, m=slope, b= y-intercept
slope=∆y/∆x=(4-(-2))/(-3-1)=6/-4==-3/2
Equation:
y=-3x/2+b
solve for b using one of given coordinates (1,-2)
-2=-3*1/2+b
b=-2+3/2=-1/2
equation:
y=-3x/2-1/2
2y=-3x-1
3x+2y=-1
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