Exploring Linear Equations and Their Forms

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?

• Standard form

• Slope-intercept form

• Point-slope form

• Quadratic form

In the equation y = mx + b, what does 'm' represent?

• Y-intercept

• Slope

• Coefficient of y

• X-intercept

How do you calculate the slope of a line given two points?

• Add the x-coordinates and y-coordinates

• Divide the difference in y-coordinates by the difference in x-coordinates

• Multiply the x-coordinates and y-coordinates

• Subtract the x-coordinates from the y-coordinates

What is the slope of a line that rises 4 units and runs 3 units?

• 7

• 1

• 3/4

• 4/3

What is an x-intercept?

• The point where x and y are equal

• The point where y is zero

• The point where the line crosses the y-axis

• The point where x is zero

Which point represents a y-intercept?

• (4, 4)

• (4, 0)

• (0, 0)

• (0, 4)

What is true about the slopes of parallel lines?

• They are undefined

• They are 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?

• -4/3

• 3/4

• 4/3

• -3/4

How do you graph the equation y = 2x - 4?

• Plot the x-intercept at 2 and use the slope -4 to find another point

• Plot the y-intercept at 2 and use the slope -4 to find another point

• Plot the x-intercept at -4 and use the slope 2 to find another point

• Plot the y-intercept at -4 and use the slope 2 to find another point

What type of line is represented by the equation x = 4?

• Vertical line

• Horizontal line

• Diagonal line

• No line