Find a point-slope from the equation of the line satisfying the conditions.

Slope -5 , passing through (2,8)

**Solution**

The point-slope equation of the line can be in the form y – = m(x –) or

y = m(x – ) + y1. For this problem, use the form y = m(x –) + y1.

Substitute the given values for ,m, and into the point-slope equation.

Substitute the y-coordinate of the givrn point for .

y = m(x-)+8

Substitute the x – coordinate of the point for .

y = -5(x – 2) + 8

An equation of the line in point-slope from is the following.

y = -5(x – 2 )+ 8