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?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

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:

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