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

2 Answers
Jul 19, 2016

Answer:

Slope #m=-3#, &, Y-intercept #c=-4#.

Explanation:

The slope-intercept form of a line is # : y=mx+c#, where, #m# is slope and #c# is Y-intercept of the line..

The given eqn. is, # : y=-3x-4#

Clearly, the Slope #m=-3#, &, Y-intercept #c=-4#.

Jul 19, 2016

Answer:

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