# What is the slope of a line defined by the equation 3x + y = -4?

##### 1 Answer

Jun 3, 2016

slope

#### Explanation:

Recall that the slope of a line can be determined when its equation is in slope-intercept form:

#color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))# where:

#y=# y-coordinate

#m=# slope

#x=# x-coordinate

#b=# y-intercept

In your case, you are looking for

Given,

#3x+y=-4#

Solve for

#3xcolor(white)(i)color(red)(-3x)+y=color(red)(-3x)-4#

Simplifying,

#y=color(darkorange)(-3)x-4#

Referring back to the general equation of a line, the slope,