Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Identify two points on the line

We can choose the points $(-3,0)$ and $(0, - 3)$ from the graph.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,0)$ and $(x_2,y_2)=(0,-3)$. Then $m=\frac{-3 - 0}{0-(-3)}=\frac{-3}{3}=-1$.

Step3: Use 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. We know $m=-1$ and from the point $(0,-3)$ the y - intercept $b=-3$. So the equation of the line is $y=-x - 3$.

Answer:

The slope of the line is $-1$ and the equation of the line in slope - intercept form is $y=-x - 3$.