What is the equation of the line that has a slope of 5 and goes through (0, -10)?

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Answer 1 · 2017-06-26T18:53:53

#y=5x-10#

The point slope form of an equation is

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

The slope is #m=5# and the point is #(0,-10)#.

Plugging these into the point slope form is

#y-(-10)=5(x-0)#

Simplifying

#y+10=5x#

Subtracting #10# from both sides gives

#y=5x-10#