What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?

1 answer

The point-slope form of a line is given by the equation:

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

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

In this case, the slope \( m \) is 5, and the point is \((3, -4)\). Plugging these values into the point-slope form, we have:

\[ y - (-4) = 5(x - 3) \]

This simplifies to:

\[ y + 4 = 5(x - 3) \]

Thus, the point-slope form of the line is:

\[ y + 4 = 5(x - 3) \]