Question

A line with a slope of 5 passes through the point (1,6). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
y–
=
x–

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.

Given that the slope \( m = 5 \) and the point \( (x_1, y_1) = (1, 6) \), we substitute these values into the formula:

\[
y - 6 = 5(x - 1)
\]

So, the equation in point-slope form is:

\[
y - 6 = 5(x - 1)
\]

This is the final answer.