# What is the slope of this line 4y+3x=-2?

Jun 22, 2017

Slope equals $- \frac{3}{4}$

#### Explanation:

The slope intercept form is $y = m x + b$
Where m = the slope ( Think m for mountain slope.)

so solve the equation for y to find the value for m

$4 y + 3 x = - 2 \to$ Start by $- 3 x$ from both sides.

$4 y + 3 x - 3 x = - 3 x - 2$ This gives

$4 y = - 3 x - 2 \to$ divide both sides by $4$

$\frac{\cancel{4} y}{\cancel{4}} = \frac{- 3 x}{4} - \frac{\cancel{2}}{\cancel{4} 2}$ which gives

$y = - \frac{3}{4} x - \frac{1}{2}$

$m = - \frac{3}{4}$ so the slope is $- \frac{3}{4}$

A negative slope means the straight line of this equation is tilted downward from left to right; and this line also crosses the $y$ coordinate at $y = - \frac{1}{2}$