Question

A line with a slope of 7 passes through the point (
–
10,
–
2).
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 \(m\) is the slope, and \((x_1, y_1)\) is a point on the line.

Given:
- Slope \(m = 7\)
- Point \((x_1, y_1) = (-10, -2)\)

Substituting these values into the point-slope form:

\[
y - (-2) = 7(x - (-10))
\]

This simplifies to:

\[
y + 2 = 7(x + 10)
\]

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

\[
y + 2 = 7(x + 10)
\]