Question

The points given in the table lie on a line. Find the slope of the line.

Answer 1

3/5 because if you use the table method for slope, you have to add five each time to get the next number in the X axis and you have to add three each time to get the slope of the Y axis so it would be 3/5 because of Y/X

Answer 2

Answer: 3/5

Step-by-step explanation

Pick any two points from the table. I'll select (-2,1) and (3,4)

Use the slope formula on those two points.

`\text{Given Points: }(x_1,y_1) = (-2,1) \text{ and } (x_2,y_2) = (3,4)\\\\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 = (4 - 1)/(3 - (-2))\\\\m = (4 - 1)/(3 + 2)\\\\m = (3)/(5)\\\\`

The slope is 3/5

Rise = 3 = go up 3 units

Run = 5 = go right 5 units