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=(y_2-y_1)/(x_2-x_1)`

Plugging the values of the points give we have that:

`\begin{gathered} m=(-2-0)/(2-(-6)) \\ m=(-2)/(2+4) \\ m=-(2)/(8) \\ m=-(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