Algebra 2 Midterm Review

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

How do you find 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-intercept form of a line?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the point-slope form of a line?

Back

The point-slope form is given by the equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + (y1 - mx1) where (x1, y1) is the point used.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

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

Front

What does it mean if two lines are parallel?

Back

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

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).