Question

There is a line that includes the point (3,10) and has a slope of –8. What is its equation in point-slope form?

Answer 1

To write the equation of a line in point-slope form, we 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 of the line.

Given the point \((3, 10)\) and the slope \(m = -8\), we can substitute these values into the formula:

\[
y - 10 = -8(x - 3)
\]

This is the equation of the line in point-slope form.