8th Math Re-Test LInear Equations

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 the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y. The y-intercept is the point where the line crosses the y-axis.

Front

What is the slope of the equation y = 2x + 3?

Back

The slope of the equation y = 2x + 3 is 2.

Front

What is the y-intercept of the equation y = -4x + 1?

Back

The y-intercept of the equation y = -4x + 1 is 1.

Front

Write a linear equation for the situation: A car rental costs $50 per day plus a one-time fee of $100.

Back

y = 50x + 100, where y is the total cost and x is the number of days.

Front

What does a negative slope indicate about a line?

Back

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

Front

If the slope of a line is 0, what does that mean?

Back

If the slope of a line is 0, it means the line is horizontal and there is no change in y as x changes.

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.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.