Write an equation of a line in slope-intercept form that passes through the points (3, -2) and (1, 4)

The equation of the line would be y = -3x + 7

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

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

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

m = 6 /-2

m = -3

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 4 = -3(x - 1)

y - 4 = -3x + 3

y = -3x + 7

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