Question

Please help! What is the slope of the line using the given points?

5/2
2/5
-2/5
-5/2 are the answer choices

Answer 1

Answer: 2/5

Work Shown

`\text{Given Points: }(x_1,y_1) = (-3,-4) \text{ and } (x_2,y_2) = (2,-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))/(2 - (-3))\\\\m = (-2 + 4)/(2 + 3)\\\\m = (2)/(5)\\\\`

A slope of 2/5 means

• rise = 2 = go up 2
• run = 5 = go right 5

The "up 2, right 5" motion helps us go from one point to another point along this diagonal blue line.