Question

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).

Answer 1

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

`(0,4)\text{.}`

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

`\begin{gathered} 0=-8x+4, \\ 8x=4, \\ x=(4)/(8), \\ x=(1)/(2)\text{.} \end{gathered}`

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