Slope from Graphs

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Slope (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 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

If a line has a slope of -5/3, what does this tell you about its steepness?

Back

A slope of -5/3 indicates a steep line that falls from left to right.

Front

Given the points (1, 2) and (4, 5), what is the slope?

Back

Slope = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What type of slope does the line y = -2x + 3 have?

Back

The line has a negative slope.

Front

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

Back

For every 1 unit increase in x (run), y increases by 2 units (rise).