Solve systems of linear equations with graphing Worksheet

Front

What is a system of linear equations?

Back

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

Front

What does it mean to solve a system of linear equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on the Cartesian plane.

Front

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

Back

It means the lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you graph a linear equation in slope-intercept form?

Back

Identify the slope (m) and y-intercept (b) from the equation y = mx + b, then plot the y-intercept and use the slope to find another point.

Front

What is the slope of the line represented by the equation y = -3x - 1?

Back

The slope is -3.

Front

What is the y-intercept of the equation y = -6x - 4?

Back

The y-intercept is -4.

Front

How do you determine the solution to a system of equations from a graph?

Back

Look for the point where the two lines intersect; that point is the solution.

Front

What is the solution to the system of equations y = -2x + 2 and y = 0?

Back

(1, 0) is the solution.