Question

Use the graph to find the slope and y-intercept of the line. Compare the values to the equation y= -3x+ 1

Answer 1

The y-intercept is at the point where the line cut the y-axis.

Hence, the y-intercept is 1

$\begin{gathered} \text{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{3-0}{-1-0} \\ m=\frac{3}{-1}=-3 \end{gathered}$

Hence, the slope is -3

Comparing the values to the equation y = =-3x +1, the equation is valid for the line.