Question

A line that includes the point (
–
7,9) has a slope of 4.
What is its equation in point-slope form?

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 \((-7, 9)\) and the slope \(m = 4\), we can substitute these values into the point-slope formula:

\[
y - 9 = 4(x - (-7))
\]

This simplifies to:

\[
y - 9 = 4(x + 7)
\]

So, the equation of the line in point-slope form is:

\[
y - 9 = 4(x + 7)
\]