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find the equation of the line that contains the given points. (1,3) and (2,4)

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find the equation of the line that contains the given points.
(1,3) and (2,4).
asked Mar 17, 2014 in ALGEBRA 1 by andrew Scholar

1 Answer

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Slope-intercept form line equation is y = mx + b, where m is slope and b is y-intercept.

Let the points are (x₁, y₁) = (1, 3) and (x₂, y₂) = (2, 4).

Slope (m) = [(y₂ - y₁)/(x₂ -x₁)]

m = [(4 - 3)/(2 - 1))]

m = 1.

Now, the line equation is y = (1)x + b.

Find the y - intercept by substituting any point in the line equation say (x, y) = (1, 3).

3 = (1)(1) + b

b = 3 - 1

b = 2.

The line equation in slope - intercept - form is y = x + 2.

answered Sep 3, 2014 by david Expert

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