# How do you find the slope and intercept of 3x+4y=7?

Dec 30, 2015

slope = $- \frac{3}{4}$
y intercept = $\frac{7}{4}$

#### Explanation:

3x + 4y = 7
4y = -3x +7
y =$- \frac{3}{4}$x + $\frac{7}{4}$

comparing with y=mx+c
we get,
m= slope = $- \frac{3}{4}$

c = y intercept = $\frac{7}{4}$

3x +4y = 7

$\frac{3}{7}$x + $\frac{4}{7}$y = $\frac{7}{7}$

$\frac{3}{7}$x + $\frac{4}{7}$y = 1

$\frac{x}{\frac{7}{3}}$ + $\frac{y}{\frac{7}{4}}$ = 1

comparing with $\frac{x}{a}$ + $\frac{y}{b}$ = 1
we get,
x intercept = $\frac{7}{3}$
y intercept =$\frac{7}{4}$