Question

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(1 point)
the y-intercept of the line is
the slope of the line is
$y=\square x + \square$

Explanation:

Step1: Identify y-intercept

The y-intercept is where the line crosses the y-axis (x=0). From the graph, this point is (0, -4).

Step2: Calculate slope using two points

Use points (0, -4) and (6, 0). Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{slope} = \frac{0 - (-4)}{6 - 0} = \frac{4}{6} = \frac{2}{3}$

Step3: Write slope-intercept form

Slope-intercept form is $y = mx + b$, where $m$ is slope and $b$ is y-intercept.

Answer:

The y-intercept of the line is $-4$
The slope of the line is $\frac{2}{3}$
$y=\frac{2}{3}x + (-4)$ or $y=\frac{2}{3}x - 4$