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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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!