Graphing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

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The y-intercept is 4.

Front

What does it mean if a line has a negative slope?

Back

A negative slope means that as the x-value increases, the y-value decreases, indicating a downward trend.

Front

Back

Start by plotting the y-intercept (0, 2). Then use the slope (-3) to find another point: from (0, 2), go down 3 units and right 1 unit to (1, -1). Connect the points.

Front

What is the standard form of a linear equation?

Back

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Front

What does the term 'parallel lines' mean in graphing?

Back

Parallel lines are lines that have the same slope but different y-intercepts, meaning they never intersect.