Question

1. using the graph below, write the equation of the line in slope-intercept format.

Explanation:

Step1: Identify y-intercept

The y-intercept $b$ is where the line crosses the y-axis. From the graph, this is at $y=2$, so $b=2$.

Step2: Calculate slope $m$

Choose two points on the line, e.g., $(0,2)$ and $(1,6)$. Use slope formula:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{1-0}=4$$

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$. Substitute $m=4$ and $b=2$.

Answer:

$y=4x+2$