Linear Equations & graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What does the slope of a line indicate?

Back

The slope indicates the direction and steepness of the line. A positive slope means the line rises from left to right, while a negative slope means it falls.

Front

What is the slope of the line represented by the equation y = -2x + 6?

Back

The slope is -2.

Front

What is the y-intercept in the equation y = 2x - 10?

Back

The y-intercept is -10, which is the point where the line crosses the y-axis.

Front

What is a linear function?

Back

A linear function is a function whose graph is a straight line, represented by the equation y = mx + b.

Front

How do you find the value of f(x) for a linear function?

Back

Substitute the value of x into the function's equation to calculate f(x).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does it mean if a linear function has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.