Lines y=mx+b

Front

What does the equation of a line in the form y = mx + b represent?

Back

It represents a linear relationship between x and y, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you find the slope from 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 of the line represented by the equation y = 3x - 4?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = 5x + 8?

Back

The y-intercept is (0, 8).

Front

If a line has a slope of -1, what does this indicate about the line?

Back

It indicates that the line is decreasing, moving downwards from left to right.

Front

What does a slope of 0 mean for a line?

Back

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

Front

What is the general form of a linear equation?

Back

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

Front

How can you determine if a line has a negative slope from its graph?

Back

If the line moves downwards from left to right, it has a negative slope.