*Need help asap* 25 points

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

Respuesta :

Answer:

y = x + 1

See below.

Step-by-step explanation:

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

[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-2}{3-1}=\frac{2}{2} = 1[/tex]

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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