Write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3−3 .

y = 9/5x +12/5

Step-by-step explanation:

First find the slope using the two points

(2,6) and (-3,-3)

m = ( y2-y1)/(x2-x1)

   = (-3-6)/(-3-2)

   = -9/-5

   = 9/5

Using the slope intercept form of the line

y = mx+b where m is the slope and b is the y intercept

y = 9/5x +b

Using one of the points and substituting for x and y

6 = 9/5(2) +b

Getting a common denominator

30/5 = 18/5+b

30/5 -18/5 = b

12/5 = b

y = 9/5x +12/5

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step-by-step explanation:

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