Question

graph the equation $y = 2x - 3$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y=2x-3$ follows the slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-3$ (y-intercept, the point $(0, -3)$).

Step2: Plot the y-intercept

Mark the point $(0, -3)$ on the coordinate grid.

Step3: Use slope to find a second point

Slope $m=2=\frac{2}{1}$, meaning from the y-intercept, move 1 unit right and 2 units up to get the point $(0+1, -3+2)=(1, -1)$. Mark this point.

Step4: Draw the straight line

Connect the two points $(0, -3)$ and $(1, -1)$ with a straight line, extending it across the grid.

Answer:

A straight line passing through the points $(0, -3)$ and $(1, -1)$ (and extended in both directions on the provided coordinate grid).