# What is the slope of 3=-2y+5x?

Mar 28, 2018

slope= $\frac{5}{2}$

y-intercept = $- \frac{3}{2}$

#### Explanation:

$3 = - 2 y + 5 x$ (rearrange equation into $y = m x + b$)

$3 + 2 y = 5 x$ (Added 2y to both sides)

$2 y = 5 x - 3$ (Subtracted 3 from both sides)

$y = \frac{5 x - 3}{2}$ (Divided by two on both sides to isolate the variable)

In the equation $y = m x + b$, $m$=slope $b$ = y-intercept

so slope= $\frac{5}{2}$

y-intercept = $- \frac{3}{2}$