Write an equation in point-slope form for the line through the given point with the given slope.

(4, –6); m =

1 answer

To write the equation of a line in point-slope form, we 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.

Given the point \((4, -6)\) and the slope \(m\), we can substitute these values into the formula.

Assuming you're looking for the general form without a specific slope, we can write it with the slope represented as \(m\):

\[ y - (-6) = m(x - 4) \]

This simplifies to:

\[ y + 6 = m(x - 4) \]

If you have a specific value for \(m\), simply replace \(m\) in the equation above with that value.