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

Oct 29, 2015

The slope is $\frac{5}{2}$ and the y-intercept is $- \frac{7}{2}$

Explanation:

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

Subtract $5 x$ from both sides.

$- 2 y - 7 = - 5 x$

Add $7$ to both sides.

$- 2 y = - 5 x + 7$

Divide both sides by $- 2$

$y = \frac{- 5 x}{- 2} + \frac{7}{- 2} =$

$y = \frac{5}{2} x - \frac{7}{2}$

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

For the equation $y = \frac{5}{2} x - \frac{7}{2}$, the slope is $\frac{5}{2}$ and the y-intercept is $- \frac{7}{2}$.

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