Question

What is the slope of the line which passes through (-2, 0) and (0,4)?

Answer 1

Answer:

The answer will be 2

Step-by-step explanation:

(y-y')/(x-x')=(0-4)/(-2-0)=2(ans:)

Answer 2

Answer:

2

Step-by-step explanation:

To find the slope you need to calculate the ratio of the change of y to the change of x.

That is compute:

$\frac{y_2-y_1}{x_2-x_1}$ where

$(x_1,y_1) \text{ and } (x_2,y_2)$ are points on the line.

You can use this formula and in doing so you will be simplifying either:

$\frac{4-0}{0-(-2)}$ or $\frac{0-4}{-2-0}$.

If you want another way to look at it, you can line up the points and subtract.  After put 2nd difference over 1st difference.

Like so:

(-2,0)

-(0,4)

----------

-2   -4

So the slope is -4/-2 which simplifies to 2.

It will work the other a way around:

 (0,4)

-(-2,0)

-----------

2   4

So the slope is 4/2 which simplifies to 2.

So the slope is 2 either way.