System of Equations (solutions, graphing, and substitution)

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

Write the equation of the line with a slope of -3/2 and a y-intercept of 4.

Back

y = -3/2x + 4.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6.

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

What is the equation of the line that passes through the point (0, 2) with a slope of -1?

Back

y = -x + 2.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

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

Back

If the two equations represent the same line.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the graphical representation of a system of equations with two intersecting lines?

Back

The point of intersection represents the solution to the system.