***lots of points! write the equation of the line in standard form from these two points: (-2,3) and (4,-2)

The standard form would be 5x + 6y = 8

Step-by-step explanation:

To find the equation between these two points, start by finding the slope. You can do this using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - -2)/(-2 - 4)

m = 5/-6

m = -5/6

Now that we have the slope, we can use that and a point in point-slope form. Once we have that we can solve for the constant and rationalize the denominator for the standard form.

y - y1 = m(x - x1)

y - 3 = -5/6(x + 2)

y - 3 = -5/6x - 5/3

5/6x + y - 3 = -5/3

5/6x + y = 4/3

5x + 6y = 8

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step-by-step explanation:

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