Question

graph the following features: • y - intercept = - 3 • slope = 3

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m = 3$ and $b=-3$, the equation of the line is $y = 3x-3$.

Step2: Find the y - intercept point

The y - intercept is the point where the line crosses the y - axis. When $x = 0$, $y=-3$. So, plot the point $(0, - 3)$ on the graph.

Step3: Use the slope to find another point

The slope $m = 3=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,-3)$, if $\Delta x = 1$, then $\Delta y=3$. So, another point is $(0 + 1,-3 + 3)=(1,0)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,-3)$ and $(1,0)$.

Answer:

Graph a line passing through the points $(0,-3)$ and $(1,0)$.