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

##### 2 Answers

Jul 19, 2016

Slope

#### Explanation:

The slope-intercept form of a line is

The given eqn. is,

Clearly, the Slope

Jul 19, 2016

slope = -3 , y-intercept = -4

#### Explanation:

The equation of a line in

#color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#

where m represents the slope and b. the y-intercept.The advantage to having the equation in this form is that m and b, may be extracted 'easily'.

Express 3x + y = -4 in this form.

subtract 3x from both sides

#cancel(3x)+y-cancel(3x)=-3x-4rArry=-3x-4# Now y = -3x - 4 is in

#color(blue)"slope-intercept form"# Hence slope = - 3 and y-intercept = - 4