Slope from 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' in the equation of a line in slope-intercept form, which is y = mx + b.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a line, y = mx + b.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula: slope (m) = rise/run.

Front

What is the slope of the function y = 2/3x + 6?

Back

The slope is 2/3.

Front

What is the y-intercept of the function y = -5/2x - 1/3?

Back

The y-intercept is -1/3.

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 4, what does this indicate about its steepness?

Back

A slope of 4 indicates that for every 1 unit you move to the right, the line rises 4 units, making it quite steep.

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope is 1/2.

Front

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

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).