Find an equation for the line that passes through the points 4,3 and , −5,6 .

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

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this. For points (x1, y1) and (x2, y2), it tells you the equation can be written as ...

... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)

For your given points, this is ...

... y -3 = (6 -3)/(-5-4)(x -4)

... y -3 = -1/3(x -4) . . . . . simplifiied a bit

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Comment on the solution

The problem asks for "an equation", so no particular form is required. The 2-point form is the most convenient here. In standard form, the equation would be: x +3y = 13.

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step-by-step explanation: