Question

question
use point - slope form to write the equation of a line that passes through the point (8, 17) with slope \\(\frac{3}{2}\\).

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \((x_1,y_1)\) is a point on the line and \(m\) is the slope of the line.

Step2: Identify values of \(x_1\), \(y_1\) and \(m\)

We are given that the point \((x_1,y_1)=(8,17)\) and the slope \(m = \frac{3}{2}\).

Step3: Substitute values into the formula

Substitute \(x_1 = 8\), \(y_1=17\) and \(m=\frac{3}{2}\) into the point - slope formula \(y - y_1=m(x - x_1)\).
We get \(y - 17=\frac{3}{2}(x - 8)\).

Answer:

\(y - 17=\frac{3}{2}(x - 8)\)