Question

What is the slope of the line on the graph?

Answer 1

Answer: -1/3

Step-by-step explanation

Pick two points from the diagonal line to plug into the slope formula. I'll select (0,4) and (6,2)

`\text{Given Points: }(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (6,2)\\\\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 = (2 - 4)/(6 - 0)\\\\m = (-2)/(6)\\\\m = -(1)/(3)\\\\`

The slope is -1/3. It indicates "go down 1, then go right 3".

For example, start at (0,4) and apply the "down 1, right 3" movement pattern to arrive at (3,3). Apply the movement pattern again to go from (3,3) to (6,2). And so on.