(-3,3) and (6,-3) are on a line. find the equation of the line.

First find the slope of the two points.

m = Δy / Δx
= (-3) - 3 / 6 - (-3)
= -6 / 9
= -0.67

Then assign one of the coordinates/ordered pairs as (x1,y1). Substitute the slope and the ordered pair and isolate y ( i used the first ordered pair).

y - y1 = m(x - x1)
y - 3 = -0.67(x + 3)
y - 3 = -0.67x - 2.01
y = -0.67x - 2.01 + 3
y = -0.67x + 0.99

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