Slope & Slope-Intercept Form

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2

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4

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

What does a slope of 0 mean for a line?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined rise over run.

Front

How do you graph a line using the slope and y-intercept?

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

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2

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-5