Algebra S1 Final Review #2

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you write an equation in slope-intercept form?

Back

An equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point (x, y) that satisfies all equations in the system simultaneously.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points 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, meaning they intersect at a right angle.

Front

How can you determine if a point is a solution to an equation?

Back

To determine if a point (x, y) is a solution to an equation, substitute x and y into the equation. If both sides of the equation are equal, then it is a solution.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis. It is the value of x when y is 0.