What is an equation of the line that passes through the points (-4, 3) and (-1, 6)?

1 Answer
Dec 14, 2017

Slope-intercept form: #y=x+7#
Point-slope form: #y-6=1(x+1) or y-3=1(x+4)#

Explanation:

To find the equation of the line, first, you must find the slope. Remember that the slope formula is

#m=(y_2-y_1)/(x_2-x_1)#

If you plug in the points (it does not matter which point is #(x_1,y_1)#,

#(6-3)/(-1+4)= 1#

Therefore, the slope is #1#.

Slope-intercept form:

#y=mx+b#

So

#3=1(-4) +b#

#b=7" "# (#b# is the same if you plug in #(-1,6)#)

So

#y=x+7#

Point-slope form:

#y-y_1=m(x-x_1)#

You can plug in one of the two points here.

# y-6=1(x+1)#

or

#y-3=1(x+4)#

Hope this helped.