Slope and Slope intercept form

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

If m = 2 and b = 5, what is the slope-intercept equation?

Back

y = 2x + 5.

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 (0, b) in the equation y = mx + b.

Front

How do you write an equation in slope-intercept form given a slope and y-intercept?

Back

Use the formula y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

If the slope is 1/2 and the y-intercept is 3, what is the equation?

Back

y = 1/2x + 3.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, find the rise (change in y) and run (change in x), and calculate slope as rise/run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.