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Darina [25.2K]
3 years ago
13

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).
Mathematics
2 answers:
Ostrovityanka [42]3 years ago
8 0

Answer:

It's B.

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

lesya692 [45]3 years ago
6 0

Answer:

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

Step-by-step explanation:

we know that

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

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

<u><em>Verify each case</em></u>

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

k=y/x

For the point (-1,-4)

substitute

k=-4/-1

k=4

For the point (1,4)

substitute

k=4/1

k=4

The linear equation is  

y=4x

This line represent a direct variation

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