What is the equation of the line with slope # m= -5# that passes through # (-13,18) #?

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Answer 1 · 2018-04-15T04:36:15

#y=-5x-47#

To solve this equation use point slope form:

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

Now just plug in the slope for m, and the coordinate point #(x_1, y_1)#

It'll look like this:

#y-18=-5 (x-(-13))#

#y-18=-5 (x+13)#<-- you could leave your answer like this, but if they ask you the answer in standard form then do the steps below as well.

Now just simplify (distribute the -5, then add 18 to both sides)

#y-18=-5x-65#
#y=-5x-65+18#

#y=-5x-47#
And that's your answer!