Question

slope is
slope is equal to (make sure you simplify)
true or false: the line passes through the origin

Explanation:

Step1: Identify two points

Let the two points on the line be $(-3,2)$ and $(3, - 4)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-3,y_1 = 2,x_2=3,y_2=-4$. Then $m=\frac{-4 - 2}{3-(-3)}=\frac{-6}{6}=-1$.

Step3: Check if line passes through origin

The equation of a line in slope - intercept form is $y=mx + b$. Using the point $(-3,2)$ and $m=-1$, we substitute into the equation: $2=-1\times(-3)+b$, so $2 = 3 + b$, and $b=-1$. The equation of the line is $y=-x - 1$. When $x = 0$, $y=-1
eq0$. So the line does not pass through the origin.

Answer:

SLOPE is - 1
SLOPE is equal to $\frac{-6}{6}$
True or False: the line passes through the origin: False