Equations of a Straight Line from Coordinates

The video tutorial explains the equation of a straight line, focusing on the formula Y = MX + C, where M is the gradient and C is the Y-intercept. It covers methods to find these values using graphing and non-graphing techniques. The tutorial includes example problems to illustrate the concepts and concludes with a complex problem involving multiple points on a line.

What does the 'M' represent in the equation Y = MX + C?

• The constant term

• The Y-intercept

• The gradient

• The X-coordinate

In the graphing method, what is the first step to find the equation of a line?

• Draw the line

• Plot the points on a grid

• Find the gradient

• Calculate the Y-intercept

How is the gradient calculated without graphing?

• By multiplying the X and Y coordinates

• By subtracting the X from the Y coordinates

• By adding the X and Y coordinates

• By dividing the change in Y by the change in X

What is the next step after finding the gradient in the non-graphing method?

• Plot the points on a graph

• Draw the line

• Substitute the gradient into the equation

• Calculate the X-intercept

In the example with points (1, -3) and (5, 5), what is the calculated gradient?

• 2

• 4

• 3

• 1

What is the Y-intercept for the line passing through (1, -3) and (5, 5)?

• 2

• -5

• 5

• 0

In the complex problem, what is the gradient of the line through points (3, 8) and (12, 53)?

• 7

• 4

• 5

• 6

What is the Y-intercept of the line in the complex problem?

• 5

• 7

• 0

• -7

How do you find the unknown X-coordinate (K) in the complex problem?

• By plotting the points

• By using the equation of the line

• By guessing

• By setting Y to 0

What is the value of K in the complex problem?

• 60

• 50

• 30

• 40