The equation of the line through (8,6) and (2, -4) is?

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The equation of the line through (8,6) and (2, -4) is?

2007-09-15 04:32:37 · 3 answers · asked by shelia.boswell 1 in Science & Mathematics ➔ Mathematics

3 answers

First, determine the slope of the line that joins the points:
m = (6 - -4) over (8 - 2) = 10 over 6 = 5 over 3

Next, use the point-slope form: (you can use either of the two points)

y - 6 = (5/3)(x - 8)

By algebraic manipulation:
3y -18 = 5x - 40
5x - 3y - 22 = 0

The equation is: 5x - 3y - 22 = 0

2007-09-15 04:41:41 · answer #1 · answered by tangy 5 · 0⤊ 0⤋

change 6 and 10 slope = 10/6 = 5/3

y = 5/3 * x - 7 1/3

2007-09-15 04:41:11 · answer #2 · answered by Beardo 7 · 0⤊ 0⤋

y=(10/6)x+-7.33333333333

2007-09-15 05:09:01 · answer #3 · answered by Mrs... 2 · 0⤊ 0⤋