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Elden [556K]
2 years ago
6

Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

Mathematics
1 answer:
sveticcg [70]2 years ago
4 0

\text{The standard form of a line:}\ Ax+By=C

\text{The point-slope form:}

y-y_1=m(x-x_1)

\text{We have the point (5, 0) and the slope}\ m=\dfrac{4}{3}

\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}

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