A line with a slope of

Question

–
7 passes through the point (8,4). 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.

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. In this case, the slope \(m\) is \(-7\), and the point \((x_1, y_1)\) is \((8, 4)\).

Substituting these values into the point-slope formula, we have:

\[ y - 4 = -7(x - 8) \]

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

\[ y - 4 = -7(x - 8) \]