Question

Can you help me with this

Answer 1

Answer: -1/5

==========================================================

Step-by-step explanation:

Pick any two points on the line to apply the slope formula.

I'll select (-5,1) and (5,-1)

`(x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-1 - 1)/(5 - (-5))\\\\m = (-1 - 1)/(5 + 5)\\\\m = (-2)/(10)\\\\m = -(1)/(5)\\\\`

The slope as a fraction is -1/5

A slope of -1/5 means " go down 1, then to the right 5 units".

An example of this motion is when going from (-5,1) to (0,0)

Another example would be going from (0,0) to (5,-1)

----------

The "down 1, right 5" motion is because

• slope = rise/run = -1/5
• rise = -1 = go down 1
• run = 5 = go to the right 5