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;

$\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}$

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

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

The slope is;

$m=6$