Question

Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.

Answer 1

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

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

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

In this case, the point provided is \((1, -1)\) and the slope \(m\) is 4. Substituting these values into the point-slope form:

\[
y - (-1) = 4(x - 1)
\]

This simplifies to:

\[
y + 1 = 4(x - 1)
\]

Thus, the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4 is:

\[
y + 1 = 4(x - 1)
\]