Finding Slope Of A Line Using A Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you find the slope using two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the x-value does not change, leading to division by zero in the slope formula.

Front

If a line passes through the points (2, 3) and (5, 3), what is the slope?

Back

The slope is 0, as the y-values are the same (3), indicating a horizontal line.

Front

If a line passes through the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined, as the x-values are the same (1), indicating a vertical line.

Front

What is the slope of a line that rises 4 units for every 5 units it runs?

Back

The slope is 4/5.

Front

What is the slope of a line that falls 2 units for every 1 unit it runs?

Back

The slope is -2.