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# need help with line

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Using the Two-Point Form formula, what is the equation of the line in the form Ax + By = C given that P1(4, 3) and P2(8,6)?

Feb 26, 2021

First, (Because I can only use slope intercept form to get to that form) we find slope intercept form, which is y = mx + b where m is the slope and b is the constant, we can do $\frac{{y_1}-{y_2}}{{x_1}-{x_2}},$ which is $\frac{3-6}{4-8}=\frac{-3}{-4}=\frac34$. so, now we have y = 3/4 x + b, and we can find out be by plugging in (4,3) for x and y:$3=3+b$, so $b=0$. now, we can multiply both sides by 4, so we get 4y = 3x(we removed the b because b=0), then we can move 3x to the other side, and we get -3x+4y=0.