Find the equation of the line passing through the two points

Find the equation of the line, in slope-intercept form, passing through the points (2,4) and (5,13).

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Find slope first.

(2,4) , (5,13) 

13 - 4
-------- = slope   {substituted into slope formula}
5 - 2

9
--- = slope   {simplified}
3

slope = 3   {divided}

Choose one of the points and substitute in, with the slope, into point-slope formula.

(2,4) , m = 3
y - y1 = m(x - x1)   {point-slope formula}
y - 4 = 3(x - 2)   {substituted into point-slope formula}
y - 4 = 3x - 6   {used distributive property}
y = 3x - 2   {added 4 to both sides}

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