Question

What are the slope and the y-intercept of the graph of the linear function shown on the grid?AnswerASlope = 4, y-intercept= -6BSlope = -4, y-intercept= -1.5Cslope = negative 1 over 4; y intercept = negative 1.5Dslope = 1 over 4, y intercept = negative 6

Answer 1

The slope of a line is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugging the values of the points give we have that:

$\begin{gathered} m=\frac{-2-0}{2-(-6)} \\ m=\frac{-2}{2+4} \\ m=-\frac{2}{8} \\ m=-\frac{1}{4} \end{gathered}$

Hence the slope is -1/4.

From the graph we notice that the y-intercept is -1.5.

Therefore the answer is option C