Question

algebra 1 (25-26) practice makes progressing given the equation 3y = x + 1, determine the slope. the slope is image of a number line with x, a blue segment, 1, 1/3, 3, -2

Explanation:

Step1: Rewrite in slope-intercept form

We rearrange the equation $3y = x + 1$ to solve for $y$, using the slope-intercept form $y=mx+b$ where $m$ is the slope.
Divide every term by 3:
$$y = \frac{1}{3}x + \frac{1}{3}$$

Step2: Identify the slope

In the slope-intercept form, the coefficient of $x$ is the slope $m$.

Answer:

$\frac{1}{3}$