Understanding Linear Equations and Graphs

This video tutorial reviews linear equations, covering their forms: slope-intercept, standard, and point-slope. It explains how to calculate slope using rise over run, and identifies x and y intercepts. The video also discusses parallel and perpendicular lines, and demonstrates graphing techniques for linear equations. Practice problems are included to reinforce learning.

Which form of a linear equation is represented by y = mx + b?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What does the slope of a line represent?

• The y-intercept of the line

• The x-intercept of the line

• The steepness and direction of the line

• The midpoint of the line

If a line has a slope of 0, what type of line is it?

• Horizontal line

• Vertical line

• Undefined line

• Diagonal line

What is the x-intercept of the point (3, 0)?

• 0

• 3

• None of the above

• 3, 0

How do you identify the y-intercept of a line?

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• The point where x is zero

• The point where y is zero

What is true about the slopes of parallel lines?

• They are undefined

• They are both zero

• They are equal

• They are negative reciprocals

If a line has a slope of 3/4, what is the slope of a line perpendicular to it?

• 3/4

• -3/4

• 4/3

• -4/3

What is the first step in graphing a line in slope-intercept form?

• Identify the x-intercept

• Identify the y-intercept

• Draw a vertical line

• Calculate the slope

How do you graph a line in standard form?

• Use the point-slope formula

• Convert to quadratic form

• Find the x and y-intercepts

• Find the slope and y-intercept

What is the slope of a vertical line?

• Zero

• One

• Undefined

• Negative