Solving Systems by Graphing

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

What is the first step in solving a system by graphing?

Back

Write both linear equations in slope-intercept form.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio to plot second point 3. Draw the line.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, and do not intersect.

Front

What does it mean for two lines to be perpendicular in a system of equations?

Back

Their slopes are negative reciprocals of each other.

Front

What is the y-intercept of the equation y = 3x + 2?

Back

2

Front

How do you find the slope from the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of the lines representing the equations.

Front

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

Back

The lines are parallel and do not intersect.