Question

#5
graph this line: $y = -3x$
what is the slope of the line?
$m = $
list two ordered pairs on the line.

Explanation:

Step1: Identify slope from slope-intercept form

The line is given in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For $y = -3x$, $b=0$, so $m = -3$.

Step2: Find ordered pairs

Substitute $x=0$ into the equation:
$y = -3(0) = 0$, giving the pair $(0, 0)$.
Substitute $x=1$ into the equation:
$y = -3(1) = -3$, giving the pair $(1, -3)$.

Step3: Graph the line

Plot the ordered pairs $(0,0)$ and $(1,-3)$, then draw a straight line through them extending across the grid.

Answer:

Slope: $m = -3$
Ordered pairs: $(0, 0)$ and $(1, -3)$
(The line is graphed by plotting these two points and drawing a straight line through them.)