Semester Exam Review

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, meaning the value of y is zero at that point.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the rate of change represent in a linear relationship?

Back

The rate of change represents how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes; a positive slope means the line rises, while a negative slope means it falls.

Front

How does shifting a graph vertically affect its equation?

Back

Shifting a graph vertically affects the constant term in the equation; for example, shifting down by 8 units means subtracting 8 from the function.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.