Question

representing a graph with a slope-intercept equation a function f(x) is graphed. what is the slope of the function? m = 2 what is the y-intercept of the function? b = which equation represents the graph of the function?

Explanation:

Step1: Identify y-intercept

The y-intercept $b$ is where the line crosses the y-axis. From the graph, this is at $(0,1)$, so $b=1$.

Step2: Confirm slope (given)

The slope $m$ is given as 2, which matches the rise-over-run: for a run of 1, the rise is 2, so $m=\frac{2}{1}=2$.

Step3: Write slope-intercept equation

Use the slope-intercept form $y=mx+b$. Substitute $m=2$ and $b=1$.
$y=2x+1$

Answer:

Slope: $m=2$
y-intercept: $b=1$
Equation: $y=2x+1$