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 solution to a system of equations?

Back

The point that the equations have in common.

Front

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

Back

Write both linear equations in slope-intercept form.

Front

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

Back

y=3x+6.

Front

What does it mean if two lines intersect on a graph?

Back

It means there is a unique solution to the system of equations.

Front

What is slope in the context of a linear equation?

Back

The rate of change of y with respect to x.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis.

Front

What happens if two lines are parallel?

Back

They have no solution because they never intersect.