Flashcard 5.2-5.4 Math 1

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the graphical representation of a system of equations with one solution?

Back

The two lines intersect at a single point.

Front

How do you determine if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What is the solution to the system of equations 6x + 2y = -20 and y = -2x - 4?

Back

(-6, 8)

Front

If a boy has seven more nickels than quarters and the total value is $4.90, what type of problem is this?

Back

A system of equations problem involving two variables.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How can you find the intersection point of two lines algebraically?

Back

By solving the system of equations simultaneously.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

They have the same slope but different y-intercepts.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Isolate y on one side of the equation.