15.

Write an equation in point-slope form for the line through the given point with the given slope.

(–10, –1); m = -1

1 answer

To write the equation of a line in point-slope form, you can use the formula:

\[ y - y_1 = m(x - x_1) \]

where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.

Given the point \((-10, -1)\) and the slope \(m = -1\), we can substitute these values into the formula.

\[ y - (-1) = -1(x - (-10)) \]

This simplifies to:

\[ y + 1 = -1(x + 10) \]

Thus, the equation in point-slope form is:

\[ y + 1 = -1(x + 10) \]