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 the formula for slope

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 ((-5,-3)): (x=-5\neq - 3) (the (x) - coordinate of the given point ((-3,0))).
  • For the point ((-3,-6)): (x=-3) (same (x) - coordinate as ((-3,0))).
  • For the point ((-3,2)): (x = - 3) (same (x) - coordinate as ((-3,0))).
  • For the point ((-1,0)): (x=-1\neq - 3).
  • For the point ((0,-3)): (x = 0\neq-3).
  • For the point ((3,0)): (x = 3\neq-3).

Answer:

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