Linear Equations

Question 1

What is a linear equation?

Answer 1

An algebraic equation where the highest power of the variable is one, typically in the form ax + b = 0 or Ax + By = С.

Question 2

What is the standard form of a linear equation?

Answer 2

The standard form is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero.

Question 3

What does the slope-intercept form of a linear equation look like?

Answer 3

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

Question 4

What are the steps to graph a linear equation?

Answer 4

To graph a linear equation, first find the y-intercept (b), then use the slope (m) to find another point. Plot these points and draw a straight line through them.

Question 5

How do you solve a linear equation for x?

Answer 5

To solve for x, isolate x on one side of the equation by using inverse operations such as addition, subtraction, multiplication, or division.

Question 6

Give an example of a real-world application of linear equations.

Answer 6

Linear equations can model budgeting situations, where income and expenses are represented as a linear relationship.