12/13 (LSAE 12/12 & 12/13)

Front

What is the zero of a function?

Back

The zero of a function is the value of x for which f(x) = 0. For example, if f(x) = x - 2, then the zero is x = 2.

Front

How do you find the x-intercept of a graph?

Back

The x-intercept is found by setting y = 0 in the equation of the graph and solving for x.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the value of y when x = 0. It is found by substituting x = 0 into the equation of the graph.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula slope = rise/run.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the significance of the y = -2 equation?

Back

The equation y = -2 represents a horizontal line where the value of y is always -2, regardless of x.

Front

How do you identify the intercepts from a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

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.