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If (1, 2) and (3, 4) lie on the same line, explain how to find the slope-intercept equation of the line algebraically.

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Answer:

y = x + 1

See below.

Explanation:

To find the slope intercept form of a line, calculate the slope first.


m = (y_2-y_1)/(x_2-x_1) =(4-2)/(3-1)=(2)/(2) = 1

So the slope is 1. Substitute m = 1 and (1,2) into the point slope form. Then simplify to slope intercept form.

y - 2 = 1 (x - 1)

y - 2 = x - 1

y = x + 1

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