Unit 2 Algebra 2 Common Core Review Flashcard

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does a dotted line represent in graphing inequalities?

Back

A dotted line indicates that the points on the line are not included in the solution set.

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dotted line indicates they are not.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you convert the equation of a line from slope-intercept form to point-slope form?

Back

Identify a point on the line and use the slope to rewrite the equation in the form y - y1 = m(x - x1).

Front

What is the significance of the coefficient of x in the equation y = mx + b?

Back

The coefficient of x (m) represents the slope of the line.

Front

What does the absolute value in an inequality like f(x) < |x + 1| indicate?

Back

It indicates that the function f(x) is less than the distance from x + 1 to 0.