Find the equation of a line that passes through the points (2,2) and (3,7). Leave your answer in the form y = m x + c

Question

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Find the equation of a line that passes through the points (2,2) and (3,7).
Leave your answer in the form $y=mx+c$

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Answer 1

Slope m = (7-2)/(3-2)=5.

Now we take either point to create the slope intercept equation:

y-2=5(x-2),

y=5x-10+2,

y=5x-8 is the y=mx+c form.