Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

[tex]k=y/x[/tex]

For the point (-1,-4)

substitute

[tex]k=-4/-1[/tex]

[tex]k=4[/tex]

For the point (1,4)

substitute

[tex]k=4/1[/tex]

[tex]k=4[/tex]

The linear equation is

[tex]y=4x[/tex]

This line represent a direct variation

Baelayyy Baelayyy · Answer 2 · 2020-05-19T18:15:46+02:00

Baelayyy Baelayyy

19-05-2020

Answer:

It's B.

the line crosses the center of the graph from the bottom left side to the top right side.

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