Answer:
B. Y= -2x + 6
Step-by-step explanation:
The given line passes through; (0,6) and (4,-2).
The slope-intercept equation of this line is given by;
[tex]y=mx+c[/tex]
Where m is the slope and c is the y-intercept.
The slope is calculated using the formula;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](0,6)=(x_1,y_1)[/tex] and [tex](4,-2)=(x_2,y_2)[/tex].
Then;
[tex]m=\frac{-2-6}{4-0} =\frac{-8}{4}=-2[/tex]
The point (0,6) is the y-intercept because the x-coordinate is 0, hence c=6.
The equation is ;
[tex]y=-2x+6[/tex]
The correct choice is B.
