Semester Exam Review (Algebra 1 H)

Front

What does the y-intercept of a graph represent?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the meaning of a system of equations having no solutions?

Back

A system of equations has no solutions when the lines represented by the equations are parallel and never intersect.

Front

What does the x-intercept of a graph represent?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y is zero.

Front

What is the slope of the line represented by the equation y = -5/3x + 12?

Back

The slope of the line is -5/3.

Front

What does it mean if two lines intersect at one point?

Back

If two lines intersect at one point, the system of equations has exactly one solution.

Front

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

Back

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

Front

How can you determine if a system of equations has infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line.

Front

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

Back

The coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a constant.