Question

The graph of a function is shown.?The function is increasing.The function is decreasing.The slope of the graph is-4 -3The slope of the graph is- 2 /The x-intercept of the graph is -6.O The x-intercept of the graph is -4.Which statements about the graph are true?The y-intercept of the graph is -6.Select the four statements that are true.The y-intercept of the graph is -4.

Answer 1

In order to calculate the slope of the line, let's use the ordered pairs (0, -4) and (-6, 0):

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-(-4))/(-6-0)=(0+4)/(-6)=-(4)/(6)=-(2)/(3) \end{gathered}`

So the slope of the line is -2/3. Since it's negative, the function is decreasing.

Also, looking at the graph, the y-intercept is equal to -4 and the x-intercept is equal to -6.

Therefore the correct options are:

The function is decreasing.

The slope of the graph is -2/3