Question

What is the slope of a line that contains points (3, 10) and (3, -2)?

Answer 1

Slope is y2-y1/x2-x1

Let’s make the point (3,10) our x1 and y1 and let’s make (3,-2) our x2 and y2

-2-10/3-3

-12/0 = undefined

The slope is undefined. If it were to be 0/-12, the answer would be 0. If any number were to be divided by 0, it would be undefined.

Hope I helped!

Answer 2

To find the slope, using the coordinates, you will plug them into the slope formula.

Slope formula: $\frac{y^{2} -y^{1} }{x^{2}-x^{1}}$

You plug in the 2nd Y-cordinate in y2 and the 1st y-coordinate in y one. Then you do the same thing for the-x coordinates. Plug in the 2nd x-cordinate in x2, and 1st x-cordinate in x1.

You plug in -2 and 10 in the y2 and y1, respectively. Also, you plug in 3 and 3 in x2 and x1 respectively.

The equation you're going to get after plugging in is:

$\frac{-2-10}{3-3}$

Then you solve the equation. You subtract -2 to 10, it will be the same as -2 + -10, you would get -12. Then for the bottom, 3-3 will end up as 0

You will end up with:

$\frac{-12}{0}$

The answer you will get is undefined after completing all of the steps with the slope formula. The reason why it's undefined is because with the fraction ($\frac{-12}{0}$) you rise (up) over run (right). And the -12 would be your rise, and 0 would be your run. Since the run value is 0, you're only going to go up or down in a straight line. And you can't define what the slope is.

The slope of the line is undefined.