Write an equation of a line, in slope-intercept form, which passes through points (4,6) and (6,12)

(4,6) , (6,12)

y2 - y1

--------- = slope

x2 - x1

12 - 6

-------- {substituted coordinates into slope formula}

6 - 4

6

--- {subtracted on top and bottom}

2

slope = 3 {divided 6 by 2}

Point-slope formula is:

y - y1 = m(x - x1)

(4,6), m = 3

y - 6 = 3(x - 4) {substituted slope and first point into point-slope formula}

y - 6 = 3x - 12 {used distributive property}

**y = 3x - 6**{added 6 to both sides}

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