Identifying y=mx+b graphs

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What is the slope-intercept form of a linear equation?

Back

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Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

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Back

The y-intercept (b) is the value of y when x = 0. You can find it by substituting x = 0 into the equation.

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Back

The y-intercept is (0, 5).

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If the slope of a line is 2, what does this mean?

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A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

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Back

The slope is -4.

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How can you determine if a line is increasing or decreasing from its slope?

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If the slope is positive, the line is increasing. If the slope is negative, the line is decreasing.

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Back

The y-intercept is (0, 3).

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Back

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back