Slope-intercept

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

What does 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

If the slope (m) is -3/2, what does this indicate about the line?

Back

A slope of -3/2 indicates that for every 2 units you move to the right, the line moves down 3 units.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Convert the equation y = 2x + 3 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = 2x + 3.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope is -5/3.