Finding the Equation of a Line

This video tutorial explains how to find the equation of a line given two coordinates. It introduces a three-step method: calculating the gradient (m), finding the y-intercept (c), and forming the equation y = mx + c. Two examples are provided to illustrate the process, showing how to calculate the gradient and intercept using different sets of coordinates. The video concludes with a summary and a call to action for viewers to like and subscribe.

What is the main goal of the video tutorial?

• To find the equation of a line using two coordinates

• To understand the concept of parallel lines

• To calculate the area of a triangle

• To learn how to plot points on a graph

What is the first step in finding the equation of a line?

• Plot the points on a graph

• Calculate the y-intercept

• Solve for x

• Determine the gradient

How is the gradient (m) calculated?

• By adding the x-coordinates

• By dividing the change in y by the change in x

• By subtracting the y-intercepts

• By multiplying the coordinates

What is the formula used to find the gradient?

• x1 + x2 over y1 + y2

• y2 - y1 over x2 - x1

• x2 - x1 over y2 - y1

• y1 - y2 over x1 - x2

What is the value of the gradient (m) for the first example?

• 1

• 2

• 3

• 4

Which coordinate is used to find the y-intercept (c) in the first example?

• (-2, -3)

• (1, 1)

• (2, 5)

• (0, 0)

What is the y-intercept (c) for the first example?

• 2

• 3

• 1

• 0

What is the final equation of the line for the first example?

• y = x + 2

• y = 2x - 1

• y = 3x + 1

• y = 2x + 1

What is the first step in the summary of finding the equation of a line?

• Solve for y

• Plot the points

• Calculate the gradient

• Find the y-intercept

What are the coordinates of the points in the new example?

• (0, -3) and (8, -7)

• (1, 2) and (3, 4)

• (0, 0) and (1, 1)

• (2, 5) and (6, 7)