Question

I need help on this question, it's confusing me please help me :)

Answer 1

C.
`(1)/(2)`

Skills needed: Slope Formula

Step-by-step explanation:1

1) The slope is an important concept in algebra, and is also known as the rate of change, or growth rate.

- When graphing a linear equation, the slope determines how steep the line is. Slope can also be negative.

- To find slope, there is a formula you can use. In order to use the formula, you need to be given 2 coordinate points.

- This formula is not that hard to use, and should be remembered as it is a pretty important formula.

------------------------------------------------------------------------------------------------------------- 2) The formula for slope is:

Given two coordinate pairs:
`(x_1, y_1)` and
`(x_2, y_2)`

The formula is:

--->
`(y_2-y_1)/(x_2-x_1)` also known as
`(\triangle y)/(\triangle x)` (change of y over the change of x)

Let's use this formula for this problem (since we are given two coordinate points)

--->
`(-9, 6)` is the first point,
`(-3, 9)` is the second point

• 
  `-9` is
  `x_1`

• 
  `6` is
  `y_1`

• 
  `-3` is
  `x_2`

• 
  `9` is
  `y_2`

Let's plug it in below:

`(y_2-y_1)/(x_2-x_1)=(9-6)/(-3-(-9))`

`-3-(-9)` can be made into
`-3+9` since subtracting by a negative number is the same as adding a positive

`9-6 = 3`

`-3+9=6`

--->
`(9-6)/(-3-(-9))=(3)/(6) = (1)/(2)`

In most simplified form, it should be one-half, which is answer choice C.