Q: What does the slope tell you about changes in x and y?

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Rise over run or y over x.

if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2

y=x y=1x The slope is one.

The slope is (change in 'y' produced by a change in 'x') divided by (change in 'x' that produces it). The slope of any horizontal line on the graph is zero because the value of 'y' is the same everywhere on the line. No matter how much you change 'x' along the line, 'y' never changes.

No it is not an undefined slope; the slope of y = -x is -1.The standard form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept. In y = -x, the y-intercept is 0, and the slope is -1.

Related questions

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We know that the slope of a line is (Changes in y)/(Changes in x). Does the y-axes has changes in y? No. This means that y-axis does not have a slope. The same thing is for x-axis.

On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.

It changes in x and in y

Rise over run or y over x.

if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2

Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.

y=x y=1x The slope is one.

The slope is (change in 'y' produced by a change in 'x') divided by (change in 'x' that produces it). The slope of any horizontal line on the graph is zero because the value of 'y' is the same everywhere on the line. No matter how much you change 'x' along the line, 'y' never changes.

No it is not an undefined slope; the slope of y = -x is -1.The standard form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept. In y = -x, the y-intercept is 0, and the slope is -1.

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In the form y = mx + c, m is the slope, thus: x + y = 2 → y = -x + 2 → slope = -1