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Write the equation of the line that goes through the two points (4,5) and (5,2).

1 Answer

3 votes

Answer:

The equation of the line would be y = -3x + 17

Explanation:

To start finding the line of this equation, you need to find the slope. You can do this using the slope equation.

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

m = (5 - 2)/(4 - 5)

m = 3/-1

m = -3

Now that we have the slope, we can use that and either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 5 = -3(x - 4)

y - 5 = -3x + 12

y = -3x + 17

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