Systems of Equations - Graphing Method

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 a system of equations to have one solution?

Back

The two lines intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The two lines are identical, representing the same line.

Front

How do you graph a linear equation?

Back

Plot points that satisfy the equation and connect them with a straight line.

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

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

Back

The slope is 3.

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What does the graph of y = -2x + 3 look like?

Back

A straight line with a slope of -2 and a y-intercept of 3.

Front

What is the graphical representation of the equation x + y = 5?

Back

A straight line that intersects the y-axis at 5 and the x-axis at 5.