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

$y=5x-10$