Analyzing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear equation?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the unit rate of change in a linear relationship?

Back

The unit rate of change is the slope of the line, representing how much the y-value changes for a one-unit increase in the x-value.

Front

How can you determine if a set of ordered pairs forms a linear relationship?

Back

If the differences in the y-values divided by the differences in the x-values (slope) are constant for all pairs, then the ordered pairs form a linear relationship.

Front

Back

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in a vertical line, where the x-value does not change, leading to division by zero in the slope formula.