Segment ab falls on line 6x + 3y = 12. segment cd falls on line 4x + 2y = 8. what is true about segments ab and cd?
they are parallel because they have the same slope of -2.
they are parallel because they have the same slope
they are coincident lines because they have the same slope and the same y-intercept.
they are coincident lines because they have the same slope and a different y-intercept.

c.

step-by-step explanation:

to find your answer, put your equations into slope-intercept form.

we'll start with segment ab's line.

segment ab's line has a slope of -2 and a y-intercept of 4.

next, segment cd's line.

segment cd's line has a slope of -2 and a y-intercept of 4.

since they have the same slope and y-intercept, they are coincident lines.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: