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The points 5,7 and 2,4 lie on a line what is the equation of the line

User TrieuNomad
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1 Answer

5 votes

Answer:

y = x + 2

Explanation:

Please enclose the coordinates inside parentheses:

(5, 7) and (2, 4).

As we move from (2, 4) to (5, 7), x increases by 3 (this is the "run") and y increases by 3 (this is the "rise").

Thus, the slope of the line connecting these two points is

m = rise / run = 3 / 3 = 1, and so, when we use the slope-intercept form of the equation of a straight line, we get:

7 = 1(5) + b, so that b comes out to 2. Then the desired equation is

y = x + 2.

User Bryan Oemar
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