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 the system of equations represented by the point (2, 3)?

Back

(2, 3) is the ordered pair that satisfies both equations.

Front

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

Back

y = 3x + 6

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1) is the ordered pair that satisfies both equations.

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE

Front

What does it mean for two lines to intersect on a graph?

Back

It means they have a common solution (x, y) that satisfies both equations.

Front

What is the slope of a line represented by the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

How do you find the y-intercept of a line in slope-intercept form?

Back

The y-intercept is the value of 'b' in the equation y = mx + b.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of two or more lines on a coordinate plane.

Front

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

Back

They have no solution because they never intersect.