Question

A line has a slope of
1
2
and passes through the point (1,5). What is its equation in point-slope form?

Answer 1

To write the equation of a line in point-slope form, we use the formula:

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

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

Here, the slope \(m = \frac{1}{2}\) and the point \((x_1, y_1) = (1, 5)\).

Substituting these values into the formula gives:

\[
y - 5 = \frac{1}{2}(x - 1)
\]

This is the equation of the line in point-slope form.