Solving Systems of equations by graphing

Front

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

Back

Write both linear equations in slope-intercept form.

Front

What does it mean when two lines intersect at one point in a system of linear equations?

Back

It means there is one solution to the system.

Front

What is the solution to a system of equations?

Back

The point or points where they intersect.

Front

What are the possible types of solutions for a system of equations?

Back

Either a single point, infinite number of points, or no points.

Front

Is (1,10) the solution to the system: y=7x+5 and y=x+9?

Back

No.

Front

What is the solution to the system of equations: y=2x+1 and y=3x-2?

Back

(3,7).

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system.

Front

How do you convert an equation to slope-intercept form?

Back

Rearrange the equation to the form 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=4x+2?

Back

4.

Front

What is the y-intercept of the line represented by the equation y=-3x+5?

Back

5.