Question

slope of a line assignment active graphing a line to show slope a line is to be graphed through the point (-3, 0). which points can be used to create a line with an undefined slope through (-3, 0)? check all that apply. (-5, -3) (-3, -6) (-3, 2) (-1, 0) (0, -3) (3, 0)

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. A slope is undefined when the denominator $x_2 - x_1=0$, i.e., $x_1 = x_2$.

Step2: Check given points

We have the point $(-3,0)$. For a line with an undefined slope passing through this point, the $x$-coordinate of other points on the line must be $x=-3$.

• For the point $(-5,-3)$, $x=-5

eq - 3$.

• For the point $(-3,-6)$, $x = - 3$.
• For the point $(-3,2)$, $x=-3$.
• For the point $(-1,0)$, $x=-1

eq - 3$.

• For the point $(0,-3)$, $x = 0

eq - 3$.

• For the point $(3,0)$, $x=3

eq - 3$.

Answer:

$(-3,-6),(-3,2)$