# How do you graph using slope and intercept of 3x + 2y = 21?

Apr 25, 2018

$m = \left(\frac{- 3}{2}\right)$
$x = 7$
$y = 10.5$

#### Explanation:

• $x$ - Intercept $\to$ when $y = 0$
• $y$ - Intercept $\to$ when $x = 0$
• For the slope re-arrange the equation to the for $y = m x + b$

SLOPE:

$y = \frac{- 3 x + 21}{2}$

$y = \left(\frac{- 3}{2}\right) x + 10.5$

So your $\textcolor{\mathmr{and} a n \ge}{m = \left(\frac{- 3}{2}\right)}$

X-INTERCEPT:

$3 x = 21$

$\textcolor{\mathmr{and} a n \ge}{x = 7}$

Y-INTERCEPT:

$2 y = 21$

$\textcolor{\mathmr{and} a n \ge}{y = 10.5}$