What is the equation of a line with #m=-5# and goes through #(8,-2)#?

1 Answer
Feb 5, 2016

#y = -5x + 38#

Explanation:

The general equation of a line is

#y = mx + b#
where:
#m# = slope
#b# = y-intercept

[Given]
#m = -5#
passes through #(8, -2)#

Since we know the slope, we know that our equation will follow the form:

#y = -5x + b#

Since we know that the line passes through the point #(8, -2)#, we can substitute these values to our equation above to find #b# or our y-intercept.

[Solution]
#y = -5x + b#
#-2 = -5(8) + b#
#-2 = -40 + b#
#b = 38#

So the final equation is:
#y = -5x + 38#