Analyze Linear Equations y = mx + b

Front

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

Back

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

Front

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

Back

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

Front

What does the '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

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant of the line.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant of the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x does not change and y can take any value.

Front

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

Back

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

Front

What is the equation of a line with a slope of -3 and a y-intercept of -3?

Back

The equation of the line is y = -3x - 3.

Front

How do you convert the equation y = -2x - 5 to standard form?

Back

To convert to standard form, rearrange to 2x + y = -5.

Front

What is the y-intercept of the line y = 2x - 5?

Back

The y-intercept is -5, which is the point (0, -5) on the graph.