Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

The point that the equations have in common.

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect.

Front

If m=3 and b=6, what is the correct slope intercept equation?

Back

y=3x+6.

Front

What does the slope of a line represent in a graph?

Back

The rate of change of y with respect to x.

Front

What is the y-intercept in the equation y=mx+b?

Back

The value of y when x=0.

Front

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

Back

Start at the y-intercept and use the slope to find another point.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on the same coordinate plane.

Front

How can you check if a point is a solution to a system of equations?

Back

Substitute the point into both equations and see if both are true.