Answer:
I'm sorry that no one is helping you, the correct answers are A and F.
Step-by-step explanation:
The line's equation is [tex]y=\frac{1}{4} +3[/tex]. You know this because the slope of the line is found by subtracting the y-value of the two points and dividing it by the difference of the x-values, which would be [tex]\frac{6-4}{12-4} = \frac{2}{8} = \frac{1}{4}[/tex]. Using the slope, you can calculate the y-intercept of the equation, which you just multiply the slope by the distance to the y-axis and subtract that from the y-value of (4, 4), which you will get [tex]4 + (-4*\frac{1}{4}) = 4+(-1) = 3[/tex]. So the equation of the line is [tex]y=\frac{1}{4} +3[/tex]. When you simplify all the choices below, you'll get that only A and F are equivalent to the equation, so those are the correct choices.