Question

(Question 4)
State The Slope

Answer 1

Answer: The slope of the line passing through the points (1,-1) and (4,3) is 4/3

Answer 2

Answer: 4/3

Step-by-step explanation:

The two points marked on the green line are (1,-1) and (4,3)

Let's use the slope formula.

`(x_1,y_1) = (1,-1) \text{ and } (x_2,y_2) = (4,3)\\\\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 = (3 - (-1))/(4 - 1)\\\\m = (3 + 1)/(4 - 1)\\\\m = (4)/(3)\\\\`

The slope is 4/3

slope = rise/run = 4/3

rise = 4

run = 3

It means "go up 4 and to the right 3" so we can move from (1,-1) to (4,3).