Systems Review

Front

What is slope-intercept form?

Back

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

Front

How do you isolate y in the equation -2y = 22 - 8x?

Back

To isolate y, divide both sides by -2.

Front

What is the first step to convert 8x - 2y = 22 into slope-intercept form?

Back

Subtract 8x from both sides.

Front

What does the solution (0,5) represent in a system of equations?

Back

It represents the point where the two lines intersect on a graph.

Front

How do you convert -4y = 12x + 24 into slope-intercept form?

Back

First, divide both sides by -4 to isolate y.

Front

What is the slope of the line represented by y = (1/4)x + 5?

Back

The slope is 1/4.

Front

What is the y-intercept of the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

How do you subtract 8x from both sides of the equation 8x - 2y = 22?

Back

The correct way is -2y = 22 - 8x.

Front

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

Back

It means they have the same slope and will never intersect.

Front

What is the solution to the system of equations y = (1/4)x + 5 and y = -4x + 5?

Back

The solution is (0,5).