A line with a slope of 7 passes through the point (


10,

2).
What is its equation in point-slope form?

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

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:

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