Question

Which description best compares the graphs given by the equations: x-5y=-5 5x-25y=75

Answer 1

Considering the slopes of the given lines, they are parallel lines.

When are lines parallel, perpendicular or neither?

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

• If they are equal, the lines are parallel.

• If their multiplication is of -1, they are perpendicular.

• Otherwise, they are neither.

The first line, in standard form, is given by:

5y = x + 5

y = 0.2x + 1.

The slope is of m = 0.2.

For the second line, we have that:

25y = 5x - 75

y = 0.2x - 3

The slope is of m = 0.2.

Same slope, hence the lines are parallel.

More can be learned about the slope of a line at brainly.com/question/12207360

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