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Write an equation of the line through the points (-3, 3) and (7, 5) in slope-intercept form. What is the y-intercept?

Sagot :

DeZiyaidn
First get the slope, m.

m = change in y / change in x = (5 - 3)/(7 - (-3)) = 2 / 10 = 1/5
You can also do reverse the order of subtractions = (3 - 5)/(-3 - 7) = -2 / -10 = 1/5

Now substitute the value of m and either (x,y) point into the slope intercept equation:

y = mx + b

5 = (1/5) 7 + b
5 - 7/5 = b
(25 - 7)/5 = b
18/5 = b

Final answer:

y = 1/5 x + 18/5
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