Question

The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.

(1,9)

Answer 1

To find the point-slope equation of a line given the slope and a point on the line, you can use the point-slope form of the equation of a line, which is:

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

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

In your case, the slope \(m\) is 2, and the point \((x_1, y_1)\) is (1, 9).

Substituting these values into the point-slope form, we get:

\[
y - 9 = 2(x - 1)
\]

This is the point-slope equation of the line. You can simplify it further if necessary, but this form is perfectly acceptable for the point-slope equation.