Understanding Linear Equations and Slopes

The video tutorial by Zizek Fernandez explains how to find the y-intercept of an ordered pair. It begins with an introduction to the equation y = mx + b, where m is the slope and b is the y-intercept. The tutorial details the process of calculating the slope using two ordered pairs and then using this slope to find the y-intercept. An example problem is solved to demonstrate the steps, and the tutorial concludes with a summary of the process.

What is the general form of the equation of a line?

• x = my + b

• x = b + my

• y = b + mx

• y = mx + b

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

• The slope

• The y-intercept

• The x-intercept

• The origin

How is the slope (m) calculated between two points?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

What is the slope of a line if the points are (4, 2) and (-5, -2)?

• 4

• -4

• -1

• 1

What happens when you subtract a negative number?

• It turns into an addition problem

• It becomes a larger negative number

• It becomes a smaller negative number

• It remains the same

What is the slope when calculated as a whole number from the given points?

• -4

• 4

• -1

• 1

What is the equation of the line with a slope of -4?

• y = x - 4

• y = -x + 4

• y = 4x + b

• y = -4x + b

Which ordered pair is used to find the y-intercept?

• (4, 2)

• (-5, -2)

• (2, 4)

• (-2, -5)

What is the y-intercept of the line given the equation 2 = -4(4) + b?

• 2

• 4

• 8

• 10

What is the first step in simplifying the equation to find the y-intercept?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 2

• Multiply both sides by 2