Algebra 1

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

How do you find 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 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 b in the slope-intercept form.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How can you determine if two lines are parallel?

Back

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

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation.

Front

What is the difference between a solution and a root of an equation?

Back

A solution is a value that satisfies the equation, while a root is a specific type of solution where the equation equals zero.

Front

How do you graph a linear equation using the slope and y-intercept?

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.