Question

Which of the equations below contains the two points listed? (-8,-3) and (-8,1) A. y=8 B. x=-8 C. x=8 D. y=-8

Answer 1

Answer:

Option B.

Step-by-step explanation:

If a line passing through two points, then equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

It is given that the line passing through (-8,-3) and (-8,1). So, the equation of line is  

$y-(-3)=\dfrac{1-(-3)}{-8-(-8)}(x-(-8))$

$y+3=\dfrac{4}{0}(x+8)$

The given line is a vertical line because slope $=\dfrac{4}{0}=\infty$.

$0=4(x+8)$

$0=(x+8)$

$x=-8$

So, the equation of line is x=-8.

Therefore, the correct option is B.

Answer 2

Answer:

-8

Step-by-step explanation:

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