Question 396179: Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.
(7, -3), (4, -8)
I keep getting stuck on this one... The first step would be to find the slope ( y2-y1/ x2-x1) right?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi, Yes! first find slope
Finding equation of the line in standard form Ax + By = C
Using the point-slope formula,  to find m
(7, -3),
(4, -8) m = -3-(-8) / 7-4 = 5/3
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
y = (5/3)x + b |using ordered pair Pt(7,-3) to solve for b
-3 = (5/3)*7 + b
- 3 - 35/3 = b
-44/3 = b
y = (5/3)x -44/3 |multiplying each term by 3
3y = 5x -44
5x - 3y = 44, equation of the line in standard form
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