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, indicating the rate of change of y with respect to x.

Front

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

Back

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

Front

What is the general form of a direct variation equation?

Back

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

Front

What does 'k' represent in the equation y = kx?

Back

The constant of variation, indicating the ratio of y to x.

Front

How can you determine if a relationship is a direct variation?

Back

If the ratio of y to x is constant and can be expressed in the form y = kx.

Front

What is the difference between direct variation and linear equations?

Back

Direct variation is a specific case of linear equations where the y-intercept (b) is zero.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

It represents the rate of change, such as speed, growth rate, or cost per unit.

Front

What is the standard form of a linear equation?

Back

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