Find Slope: by Formula or Graph

Front

What is the formula to find the slope of a line between two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope from a graph?

Back

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Front

Calculate the slope between the points (1, 3) and (4, 11).

Back

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

If the slope of a line is 1/2, what does this indicate about the steepness of the line?

Back

A slope of 1/2 indicates a gentle incline; for every 2 units moved horizontally, the line rises 1 unit.