Kaitlyn K.

asked • 01/29/22

find the equation of the line that passes through the (x,y) points of (4,6) and (-2,8)

Aaron W.

We have 2 points (x1,y1) and (x2,y2) on the line. We know the definition of slope m is: m = (y2 - y1) / (x2 - x1) So, find the slope using the two points. Once you have the numerical slope, you think of the formula more generally: (y - y1) / (x - x1) = m where y and x are any y and x... You have x1, y1, and m. Plug them in. You get your equation of a line.
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01/29/22

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Raymond B. answered • 01/29/22

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(4,6) and (-2,8) have a line through them with slope = "rise over run," the difference in y values over the difference in x values = (8-6)/(-2-4) = 2/-6 = -1/3 = (y-6)/(x-4)


cross multiply

3y - 18 = -x +4

3y = -x +22

y = -x/3 + 22/3 is the equation in slope intercept form


or


x + 3y = 22 in standard form





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