Question

1. graph the following equation. y = 2x - 9

Explanation:

Step1: Identify slope and y-intercept

The equation $y=2x-9$ follows the slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-9$ (y-intercept).

Step2: Plot the y-intercept

The y-intercept is the point where $x=0$, so the point is $(0, -9)$. Mark this on the graph.

Step3: Use slope to find a second point

Slope $m=\frac{\text{rise}}{\text{run}}=\frac{2}{1}$. From $(0, -9)$, move up 2 units and right 1 unit to get the point $(1, -7)$. Mark this point.

Step4: Draw the line

Connect the two points $(0, -9)$ and $(1, -7)$ with a straight line, extending it in both directions.

Answer:

The graph is a straight line passing through points $(0, -9)$ and $(1, -7)$, with a slope of 2 and y-intercept at $(0, -9)$.