# How do you write the equation of a line given m= -5 (2,4)?

##### 2 Answers

#### Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"here "m=-5#

#y=-5x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(2,4)" into the partial equation"#

#4=-10+brArrb=4+10=14#

#y=-5x+14larrcolor(red)"is the equation of the line"#

See below:

#### Explanation:

As an alternate way of solving this, we can use the **point slope** form, which is:

Substituting in:

We can convert this form into the slope intercept form shown in the other answer:

And also into standard form:

These all describe the same thing - this line:

graph{-5x+14[-20,20,0,20]}