Question

Use point-slope form to write the equation of a line that passes through the point (1,-5) with slope -1

Answer 1

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.

Given that the point (1, -5) lies on the line and the slope is -1, the equation of the line can be written as:

y - (-5) = -1(x - 1)

Simplifying the equation:

y + 5 = -x + 1

Rearranging the terms:

y = -x - 4

Therefore, the equation of the line in point-slope form is y = -x - 4.