Slope from graphs, tables and points

Front

What is the definition of slope?

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 from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as you move along the line.

Front

If a line rises from left to right, what can you say about its slope?

Back

If a line rises from left to right, its slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

If a line falls from left to right, its slope is negative.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise and run between them, and calculate the slope using the formula: slope = rise/run.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

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

Front

What does a slope of -3/4 indicate about the line?

Back

A slope of -3/4 indicates that for every 4 units you move to the right, the line moves down 3 units.