Graphing Linear Equations

Front

What is the slope of a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run, or the change in y divided by the change in x.

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Back

'm' represents the slope of the line.

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Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

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Back

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Back

The slope is 4.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

Front

What is the equation of a line with a slope of 2 and a y-intercept of 5?

Back