Graphing Linear Equations in Standard Form

This tutorial covers the identification and graphing of linear equations in standard form. It explains the four main types of lines: horizontal, vertical, increasing, and decreasing. The video demonstrates how to find x and y intercepts to graph lines and introduces the cover-up method for solving intercepts. Special cases of horizontal and vertical lines are discussed, and a practice problem is provided to reinforce learning.

What is the standard form of a linear equation?

• ax + by = c

• ax / by = c

• ax^2 + by^2 = c

• ax + by + c = 0

What does the x-intercept of a graph represent?

• The point where the graph touches the y-axis

• The lowest point on the graph

• The point where the graph crosses the x-axis

• The highest point on the graph

How do you find the y-intercept of the equation 5x + 2y = 10?

• Set y = 0 and solve for x

• Divide the equation by 2

• Multiply x and y by 10

• Set x = 0 and solve for y

What does the y-intercept of a graph represent?

• The lowest point on the graph

• The point where the graph touches the x-axis

• The highest point on the graph

• The point where the graph crosses the y-axis

Which method can be used to easily find intercepts in a linear equation?

• Elimination method

• Substitution method

• Cover-up method

• Graphing method

What is the x-intercept of the equation 4y - x = -4 after rearranging?

• (4,0)

• (0,4)

• (-4,0)

• (0,-4)

What is the slope of a horizontal line?

• Undefined

• 1

• -1

• 0

What characteristic does a vertical line have?

• Positive slope

• Negative slope

• Undefined slope

• Zero slope

What is the equation of a line that is always vertical?

• y = mx + b

• y = constant

• x = mx + b

• x = constant

Which equation has an x-intercept of 2,0 and a y-intercept of 0,3?

• 2x + 3y = 6

• 2x - 3y = 6

• 3x + 2y = 6

• 3x - 2y = 6