Question

Determine the slope and the y interception from the table of values

Answer 1

Slope = -2

y-intercept is 6

Step-by-step explanation:

To get the slope, we pick any two points in the table and apply the slope formula:

Picking points: (-2, 10) and (1, 4)

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-2,y_1=10,x_2=1,y_2\text{ = }4 \\ \text{slope = m = }\frac{4\text{ - 10}}{1\text{ - (-2)}} \\ \text{slope = }\frac{4\text{ - 10}}{1\text{ + 2}} \end{gathered}`
`\begin{gathered} \text{slope = -6/3} \\ \text{slope = -2} \end{gathered}`

To get the y-intercept, we find the value of y when x = 0 on the table:

when x = 0, y = 6

Hence, the y-intercept is 6