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Write in point-slope form an equation of the line that passes through the point (5,7) with a slope of -1

User Shreekanth
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Final answer:

The equation of the line that passes through the point (5,7) with a slope of -1 is y = -x + 12.

Step-by-step explanation:

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the point is (5,7) and the slope is -1. Plugging in these values into the point-slope form, we have:

y - 7 = -1(x - 5)

Simplifying, we get:

y - 7 = -x + 5

y = -x + 5 + 7

y = -x + 12

Therefore, the equation of the line that passes through the point (5,7) with a slope of -1 is y = -x + 12.

User Mathias Schwarz
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