Question

What is the point-slopw form of the line that passes through the given point and has the given slop?

Answer 1

Point slope form is $y - y_1 = m(x-x_1)$ in general where 

m = slope
(x1,y1) = point the line goes through

In this case, m = 5 is the given slope

(x1,y1) = (1,3) is the given point the line goes through which means
x1 = 1
y1 = 3

So let's plug m = 5, x1 = 1, y1 = 3 into the general equation above to get...

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

$y - 3 = 5(x-1)$

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So the final answer is $y - 3 = 5(x-1)$