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Question 1 of 5Select the correct answer.What are the intercepts of this function?f(x) = -8x + 4The x-intercept is (2,0), and the y-intercept is (0,4).The x-intercept is (-2,0), and the y-intercept is 0,-4).The x-intercept is (-3,0), and the y-intercept is (0,-4).The x-intercept is (3,0), and the y-intercept is (0,4).

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Answer:

Notice that the equation is in slope-intercept form, therefore, the coordinates of the y-intercept are:

[tex](0,4)\text{.}[/tex]

Now, to compute the x-intercept, we set y=0 and solve for x:

[tex]\begin{gathered} 0=-8x+4, \\ 8x=4, \\ x=\frac{4}{8}, \\ x=\frac{1}{2}\text{.} \end{gathered}[/tex]

The coordinates of the x-intercept are (1/2,0).