Front

What is a solution to the equation 5x - y = -12?

Back

A solution is a pair of values (x, y) that makes the equation true. For example, (-4, -8) is a solution.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. A slope of -3 means for every 1 unit increase in x, y decreases by 3 units.

Front

How do you find the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

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

Back

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

Front

What is the y-intercept of the line y = 3x + 5?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 5) for this equation.

Front

How do you identify the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the equation of a line with slope 3 and y-intercept 5?

Back

The equation is y = 3x + 5.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the slope of a line represented by the equation y = -2x + 4?

Back

The slope is -2.