slope intercept form flashcard review

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

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

The slope of the line is 3.

Front

How would you write the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation would be y = -2x + 5.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables.

Front

How can you determine the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis.