a line is to be graphed through the point (-3, 0). which points can be used to create a line with an…

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)

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)

Answer

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. A slope is undefined when the denominator $x_2 - x_1=0$, which means $x_1=x_2$.

Step2: Check each point

For the point $(-3,0)$, we need to find points with $x = - 3$.

  • For $(-5,-3)$, $x=-5\neq - 3$.
  • For $(-3,-6)$, $x=-3$.
  • For $(-3,2)$, $x=-3$.
  • For $(-1,0)$, $x=-1\neq - 3$.
  • For $(0,-3)$, $x = 0\neq - 3$.
  • For $(3,0)$, $x = 3\neq - 3$.

Answer:

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