Exploring Linear Equations in Algebra

This video tutorial reviews writing linear equations, covering topics such as point-slope form, undefined and zero slopes, graphing using slope-intercept form, and writing equations for perpendicular and parallel lines. It also explores real-world applications, transformations of linear functions, solving and matching equations, and finding the line of best fit and correlation coefficient.

What is the slope-intercept form of a linear equation?

• y = mx + b

• b = mx + y

• y = b + mx

• x = my + b

If the slope of a line is undefined, what is the equation of the line?

• y = a constant

• x = a constant

• x = my + b

• y = mx + b

What is the equation of a horizontal line passing through the point (5, 6)?

• y = 5

• x = 5

• y = 6

• x = 6

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

What is the slope of a line perpendicular to a line with slope -4/5?

• 5/4

• -4/5

• 4/5

• -5/4

If a line is parallel to 8x + 3y = -9, what is its slope?

• -3/8

• 8/3

• -8/3

• 3/8

Jay's cable bill for 5 movies is $54 and for 12 movies is $78. What is the flat fee?

• $24

• $6

• $12

• $18

A hot air balloon ascends at 120 feet per minute. After 3 minutes, it is at 2330 feet. What is the initial altitude?

• 2090 feet

• 2000 feet

• 2130 feet

• 1970 feet

What transformation occurs when y = 3/4x + 5 is compared to y = x?

• Shifted up 5 units and less steep

• Shifted down 5 units and less steep

• Shifted up 5 units and steeper

• Shifted down 5 units and steeper

What does the negative sign in front of a slope indicate?

• The line is steeper

• The line is less steep

• The line reflects across the y-axis

• The line shifts up