Slope and Slope-Intercept Form

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 slope-intercept form of a linear equation. It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope-intercept form is given by the equation 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

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this indicate about the line?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units, meaning the line rises steeply.

Front

What type of slope does a line that goes down from left to right have?

Back

A line that goes down from left to right has a negative slope.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

How do you convert the equation -3x - 2y = 6 into slope-intercept form?

Back

To convert -3x - 2y = 6 into slope-intercept form, solve for y: y = -3/2x - 3.