How do I write an equation for? Slope= -1/3, passing through (2,-7)

1 Answer
Jun 7, 2018

#y=-1/3x - 19/3#

Explanation:

Let's start off with point-slope form.
#(y-y_1)=m(x-x_1)#
where #y_1# and #x_1# are points on the line and #m# is the slope.
We can plug in the information we have into this equation.
#y-(-7)=-1/3(x-2)#
or
#y+7=-1/3(x-2)#
If you want to convert this to slope-intercept form, you would simply solve for y
#y+7=-1/3x+2/3#

#y=-1/3x - 19/3#