Question

Use the coordinates of the labeled point to find a point-slope equation of the line.

(Line: (3, -4))

Answer 1

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

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

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

Given the point \((3, -4)\), we can use these coordinates as \((x_1, y_1)\):

\[
x_1 = 3
\]
\[
y_1 = -4
\]

However, you need to provide a slope \(m\) to complete the equation. If you have the slope of the line, you can substitute that into the equation.

If you don't have a slope, the point-slope form will just remain in terms of \(m\):

\[
y - (-4) = m(x - 3)
\]

This simplifies to:

\[
y + 4 = m(x - 3)
\]

If you provide a slope, I can help you finalize the equation!