Question

15.
Write an equation in point-slope form for the line through the given point with the given slope.

(–10, –1); m = -1

Answer 1

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:

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