Flashcardizz: Graphing and Analyzing Linear Equations

Front

What is the definition of slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find 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 slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning that the value of y remains constant regardless of the value of x.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How can you determine if a slope is positive, negative, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and an undefined slope is represented by a vertical line.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.