Question

use the point - slope equation to identify the slope and the coordinates of a point on the line $y - 4=\frac{1}{2}(x - 1)$. the slope of the line is $\boldsymbol{\text{dropdown box}}$. a point on the line is $\boldsymbol{\text{dropdown box}}$.

Explanation:

Step1: Recall point-slope form

The point-slope equation is $y - y_1 = m(x - x_1)$, where $m$ is the slope, and $(x_1, y_1)$ is a point on the line.

Step2: Match given equation to form

Compare $y - 4 = \frac{1}{2}(x - 1)$ with $y - y_1 = m(x - x_1)$.

Answer:

The slope of the line is $\frac{1}{2}$
A point on the line is $(1, 4)$