Solving Systems by Graphing

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

y = 2x + 3

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

How do you find the intersection point of two lines on a graph?

Back

Graph both equations on the same coordinate plane and identify the point where they intersect.

Front

Back

(-2, -1)

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

Back

Front

Back

(4, 3)

Front

How do you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point, the system has one solution.

Front

Back

(-1, 4)