8th Grade Math Category #2

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does slope represent in a graph?

Back

Slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is and the direction it goes.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the y-intercept of a line?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function is a relation where each input has exactly one output. A non-function may have one input that corresponds to multiple outputs.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the change in one variable is proportional to the change in another variable, resulting in a straight line when graphed.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between the y-values divided by the differences between the x-values are constant, then the table represents a linear function.

Front

What is the formula for calculating the slope of a line given its graph?

Back

The slope can be calculated using the rise over run formula: slope = rise/run, where rise is the vertical change and run is the horizontal change.