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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.

The graph of a function is shownThe function is increasingThe function is decreasingThe slope of the graph is4 3The slope of the graph is 2 The xintercept of th class=

Respuesta :

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

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

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