y=mx+b

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

Back

The '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

The '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 from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line, where x remains constant and y can change.

Front

How do you find 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 y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How do you graph the equation y = -x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (-1) to find another point, then draw the line.