How do you find the slope and y intercept of 5x-2y-7=0?

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Answer 1 · 2015-10-29T22:04:16

The slope is $5/2$ and the y-intercept is $-7/2$

Solve $5x-2y-7=0$ for $y$ .

Subtract $5x$ from both sides.

$-2y-7=-5x$

Add $7$ to both sides.

$-2y=-5x+7$

Divide both sides by $-2$

$y=(-5x)/(-2)+(7)/(-2)=$

$y=5/2x-7/2$

The equation is now in slope-intercept form $y=mx+b$ , where $m$ is the slope, and $b$ is the y-intercept.

For the equation $y=5/2x-7/2$ , the slope is $5/2$ and the y-intercept is $-7/2$ .

graph{y=5/2x-7/2 [-10, 10, -5, 5]}