Passes through (-2, 5) and (3, 1). Write an equation in slope-intercept form for the line that satisfies each set of conditions.

Expert Answers

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Another way of doing any kind of problems like these it's to use the "Point-Slope Form" and solve for "y". This will ALWAYS give you the answer in one shot:

Use the given points to find the Slope (or m):

`(x1,y1) = (3,1)`

`(x2, y2) = (-2,5)`

`m= (y2-y1) / (x2-x1) = (5-1) / (-2-3) = 4/-5`

Now use the Point-Slope Formula and solve for "y":

`y - y1 = m(x-x1)`

``y - 1 = -4/5 ( x - 3 )

y - 1 = -4/5 x + 12/5

y = -4/5 x + 17/5

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