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Use point-slope form to write the equation of a line that passes through the point left parenthesis, 15, comma, 5, right parenthesis(15,5) with slope start fraction, 15, divided by, 8, end fraction
8
15
​
.

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

Given:
- Point \((x_1, y_1) = (15, 5)\)
- Slope \(m = \frac{15}{8}\)

Substituting these values into the point-slope form:

\[
y - 5 = \frac{15}{8}(x - 15)
\]

This is the equation of the line in point-slope form. If you want, you can further simplify or rearrange this equation into slope-intercept form or standard form, but in point-slope form, it is:

\[
y - 5 = \frac{15}{8}(x - 15)
\]