Question

write an equation for the line in slope-intercept form.
(use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify y-intercept

The y-intercept $b$ is where the line crosses the y-axis. From the graph, this is at $(0, 4)$, so $b=4$.

Step2: Calculate slope $m$

Choose two points on the line, e.g., $(0,4)$ and $(1,10)$. Use slope formula:
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{10-4}{1-0}=6$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=6$ and $b=4$.

Answer:

$y=6x+4$