Flashcard - X & Y Intercepts & Systems

Front

What is the y-intercept of a linear graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

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

Back

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

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means the lines represented by the equations are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The solution is the point where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

If the equations represent the same line, they have infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the x and y intercepts and draw a line through these points.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.