Question

12 3 4 5 6 8 9 Find the slope and y-Intercept of the line represented by the table. Drag and drop each number into the correct box to solve for the slope and y-Intercept X 0 3 6 9 12 y у 8 26 44 62 80 The slope is m = and the y-Intercept Is b = 20 62 0 8 6 6 9

Answer 1

Firstly, the y intercept is the value of y when x = 0.

from the table, at x=0, the value of y is 8;

So, the y-intercept is;

`b=8`

Next, the slope can be calculated using the slope formula;

`\begin{gathered} m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \end{gathered}`

selecting two corresponding values of x and y and substituting we have;

`\begin{gathered} \text{ points;} \\ (0,8)\text{ and (3,26)} \\ \text{substituting;} \\ m=(26-8)/(3-0)=(18)/(3) \\ m=6 \end{gathered}`

The slope is;

`m=6`