Algebra 1 S1 Final 2024-25

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is zero.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is zero.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is the equation of a line with a zero slope?

Back

The equation of a line with a zero slope is of the form y = b, where b is the y-coordinate of any point on the line.

Front

How do you solve the equation 3x + 4 = 16 for x?

Back

To solve for x, subtract 4 from both sides to get 3x = 12, then divide by 3 to find x = 4.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line passing through the points (1, 4) and (5, 9)?

Back

The slope is m = (9 - 4) / (5 - 1) = 5/4.

Front

What does it mean for a line to have a positive slope?

Back

A line with a positive slope rises from left to right, indicating that as x increases, y also increases.