Question

draw the graph of the linear function. f(x) = 2x - 3 use the graphing tool to graph the function

Explanation:

Step1: Identify slope and intercept

The function $f(x)=2x-3$ is in slope-intercept form $y=mx+b$, where slope $m=2$ and y-intercept $b=-3$.

Step2: Plot y-intercept

The y-intercept is $(0, -3)$. Mark this point on the graph.

Step3: Use slope to find another point

Slope $\frac{\text{rise}}{\text{run}}=\frac{2}{1}$. From $(0,-3)$, move up 2 units and right 1 unit to get $(1,-1)$. Mark this point.

Step4: Draw the line

Connect $(0,-3)$ and $(1,-1)$ with a straight line extending infinitely in both directions.

Answer:

A straight line passing through (0, -3) and (1, -1) with a positive slope of 2.