Question

There is a line that includes the point (3,8) and has a slope of
1
3
. What is its equation in point-slope form?

Answer 1

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

In this case, the point is \((3, 8)\) and the slope \(m\) is \(\frac{1}{3}\). Plugging these values into the point-slope formula gives:

\[
y - 8 = \frac{1}{3}(x - 3)
\]

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

\[
y - 8 = \frac{1}{3}(x - 3)
\]