# How do you write an equation of a line with slope of -3 and passing through (-2,4)?

##### 2 Answers

#y=-3x-2#

#### Explanation:

Given -

Slope of the line

Point

Use the formula -

#mx+c=y#

Where -

#m# slope of the line

#x, y# x and y coordinates, through which the line passes

in our case -

#m=-3#

#x=-2#

#y=4#

#(-3)(-2) +C=4#

#6+c=4#

#c=4-6=-2#

#-3x-2=y#

The equation of the required line is

#y=-3x-2#

#### Explanation:

There are three ways to write the equation of a line: slope intercept form, point slope form, and standard (general) form.

Slope Intercept Form:

where m is the slope of the line

For a line with slope -3 and point (-2,4), plug -3 in for m, -2 for x, 4 for y, and solve for b.

The equation in slope intercept form is

Point Slope Form:

Where m is the slope of the line

For a line with slope -3 and point (-2,4), plug -3 in for m, -2 for

Standard Form:

Ax + By = C

Where A, B, and C are integers. To write an equation in standard form, rewrite the equation in point slope form so that it fits the formula for standard form.