# Given two ordered pairs (1,-2) and (3,-8), what is the equation of the line in slope-intercept form?

##### 1 Answer

Nov 26, 2015

#### Explanation:

The general equation for a line in slope-intercept form is:

#y=mx+b#

where:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

To find the equation, first find the slope. The formula for slope is:

#m=(y_"2"-y_"1")/(x_"2"-x_"1")#

where:

m = slope

#m=(y_"2"-y_"1")/(x_"2"-x_"1")#

#m=((-8)-(-2))/((3)-(1))#

#m=-6/2#

#m=-3#

Rewrite the equation:

#y=-3x+b#

Now substitute a known point into the equation to solve for

#y=-3x+b#

#(-2)=-3(1)+b#

#-2=-3+b#

#1=b#

Final answer: