Question

graph $y = 2x - 6$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y=2x-6$ follows the slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-6$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is the point where $x=0$, so plot $(0, -6)$.

Step3: Use slope to find second point

Slope $\frac{\text{rise}}{\text{run}} = \frac{2}{1}$. From $(0, -6)$, move up 2 units and right 1 unit to get $(1, -4)$, then plot this point.

Step4: Draw the line

Connect the two points $(0, -6)$ and $(1, -4)$ with a straight line, extending it in both directions.

Answer:

The graph is a straight line passing through points $(0, -6)$ and $(1, -4)$, with a slope of 2 and y-intercept at $(0, -6)$.