Question

PLEASE HELP IM SERIOUSLY STUCK

Answer 1

Answer: -1

Explanation:

Remember to use the slope formula.

`(y2-y1)/(x2-x1)`

Then plug in your points:

`m=(-1-(4))/(2-(3))`

Simplify

`m=(-5)/(5)`

Divide -5 by 5 and your Answer is:

`m=-1`

Hopes this helps!

Answer 2

-1

Explanation:

As given in the picture you provided, the slope is defined as:
`(y_2-y_1)/(x_2-x_1)` and the reason for this, is because in subtracting y_1 from y_2, you're finding how much the y-value changed, or in other words, the rise. When subtracting x_1 from x_2 you're finding how much the x-value changed, or in other words the run. Another way of expressing the slope that you may have seen is:
`(rise)/(run)` which is essentially what this slope formula is doing.

One thing to note is that what I assign to (x_1, y_1) and (x_2, y_1) doesn't matter, as long as they're two different points on the linear line.

So let's just say that:
`(x_1, y_1) = (-3, 4)` and that:
`(x_2, y_2) = (2, -1)`

Now plugging these values into the equation we get:
`(-1-4)/(2-(-3)) = (-5)/(5) = -1`

So the slope is -1