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 write the point-slope equation of a line, you can use the formula:

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

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

Given that the slope \(m = 2\) and using the coordinates of the labeled point \((1, 9)\) (assuming from your notation that this is the point you are referring to; if it’s different, please adjust accordingly), we can substitute the values into the equation:

- \(m = 2\)
- \(x_1 = 1\)
- \(y_1 = 9\)

Substituting these values into the point-slope equation:

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

This is the point-slope equation of the line with slope 2 passing through the point (1, 9). If you want to express it in a different format or need further assistance, please let me know!