Graphing Linear and Non-Linear Equations

This video tutorial by Mr. Holcomb covers lesson 13 on the graph of a linear equation in two variables. It begins with an introduction to linear equations, followed by a detailed process of finding solutions to the equation 3x + y = -8. The tutorial then demonstrates how to graph these solutions on a coordinate plane using an online graphing tool. The video concludes with a verification of the linearity of the graph and a brief exploration of non-linear equations, such as parabolas.

What is the main focus of the lesson introduced by Mr. Holcomb?

• Learning about calculus

• Understanding geometric shapes

• Solving linear equations in two variables

• Graphing quadratic equations

When finding solutions for 3x + y = -8, why is it suggested to choose values for x first?

• Because y has a coefficient of 1, making it easier to solve for y

• Because y is always negative

• Because x is a constant

• Because x is always positive

What happens to the value of y when x is set to 0 in the equation 3x + y = -8?

• y becomes 0

• y becomes -8

• y becomes 8

• y becomes 3

How does the graph of the equation 3x + y = -8 appear when fractional solutions are included?

• It forms a circle

• It forms a curve

• It forms a zigzag pattern

• It forms a straight line

What tool is used to graph the solutions of the equation in the lesson?

• GeoGebra

• Microsoft Excel

• Desmos

• Google Sheets

What is the shape of the graph for the equation 3x + y = -8?

• A straight line

• A parabola

• A circle

• A hyperbola

What is an example of a non-linear equation discussed in the lesson?

• y = 2x - 1

• y = x^2

• y = x/2

• y = 3x + 5

What is the shape of the graph for the equation y = x^2?

• A straight line

• A parabola

• A circle

• A triangle

Why should you avoid freehand drawing lines on a graph?

• It makes the graph look artistic

• It is faster than using a ruler

• It is more colorful

• It can lead to inaccurate representations

What power of x results in a non-linear equation?

• x^0

• x^2

• x^-1

• x^1