Identifying equations

Front

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

Back

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 slope of the line, which indicates the steepness and direction.

Front

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

Back

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

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the relationship between x and y in a direct variation?

Back

y = kx, where k is a non-zero constant.

Front

What is the significance of the slope in a real-world context?

Back

It represents the rate of change between two variables.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

Solve for y to isolate it on one side of the equation.

Front

What does it mean if the slope of a line is zero?

Back

The line is horizontal, indicating no change in y as x changes.

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, indicating that x does not change as y changes.