Answer:
D. (0.5, 0) and (0, -2)
Step-by-step explanation:
We have the following equation:
[tex]y = 4x - 2[/tex]
x-intercept:
The x-intercept of an equation is the value of x when [tex]y = 0[/tex]. So
[tex]y = 0[/tex]
[tex]4x - 2 = 0[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{2}{4}[/tex]
[tex]x = 0.5[/tex]
So (0.5,0) is one of the intercepts
y-intercept:
The y-intercept of an equation is the value of y when [tex]x = 0[/tex]. So
[tex]y(0) = 4(0) - 2 = 0 - 2 = -2[/tex]
So (0, -2) is the other intercept.
The correct answer is given by option D.