Solving Systems by Graphing

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

y = 2x - 6

Front

Back

y = 2x + 3

Front

What does it mean if two lines are the same when graphed?

Back

It means there are infinitely many solutions to the system of equations.

Front

What does it mean if two lines intersect at one point?

Back

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

Front

What does it mean if two lines are parallel?

Back

It means there is no solution to the system of equations.

Front

How do you find the slope from an equation in standard form?

Back

Rearrange the equation into slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If a system of equations has no solution, what can be said about the lines?

Back

The lines are parallel.