A.2C Writing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent in a linear equation?

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Front

What is the standard form of a linear equation?

Back

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts. They will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other's.

Front

How do you interpret the solution of a linear equation in a real-world context?

Back

The solution of a linear equation often represents a specific value or condition in a real-world scenario, such as the price of a ticket or the number of days needed to save a certain amount.

Front

What is the significance of the profit equation 382x - 2010 = 4720?

Back

This equation represents the relationship between the number of tickets sold (382), the price per ticket (x), the total cost (2010), and the total profit (4720). It can be used to find the ticket price.