Solving Systems by Graphing

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

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

Back

(4, -1)

Front

Parallel Lines never intersect because...

Back

they have the same slopes.

Front

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

Back

(1, 3)

Front

Buzz graphed two lines in order to find the solution to a given system of equations. What is the solution?

Back

(1, -4)

Front

What does it mean for two lines to be perpendicular?

Back

They intersect at a right angle (90 degrees).

Front

What is the slope of a line given by the equation y = 4x + 2?

Back

4

Front

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

Back

Set x = 0 and solve for y.

Front

What is the graphical representation of a system of equations?

Back

It is the point(s) where the lines intersect.

Front

What does it mean if two lines are coincident?

Back

They lie on top of each other and have infinitely many solutions.