GCSE Maths - Finding the Equation of a Straight Line From 2 Sets of Coordinates #69

This video tutorial explains how to find the equation of a line given two coordinates. It covers the process of calculating the gradient (slope) and the y-intercept to form the equation in the format Y = MX + C. The tutorial includes two example problems to demonstrate the method, emphasizing the steps of finding the gradient, using it to calculate the y-intercept, and forming the final equation.

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

• Calculate the Y-intercept

• Solve for X

• Find the gradient

• Plot the points on a graph

How do you calculate the gradient of a line?

• Change in X divided by change in Y

• Sum of X and Y coordinates

• Change in Y divided by change in X

• Difference between X and Y coordinates

What is the gradient of a line passing through points (-2, -3) and (2, 5)?

• 1

• 2

• 3

• 4

Once the gradient is found, what is the next step in forming the line equation?

• Find the Y-intercept using one of the coordinates

• Determine the slope of the perpendicular line

• Calculate the midpoint of the line

• Plot the line on a graph

What is the Y-intercept of the line with gradient 2 passing through the point (2, 5)?

• 3

• 1

• 0

• 2

What is the equation of the line passing through points (0, -3) and (8, -7)?

• y = 1/2x - 3

• y = -1/2x + 3

• y = 1/2x + 3

• y = -1/2x - 3

What is the gradient of the line passing through points (0, -3) and (8, -7)?

• 1/2

• 2

• -1/2

• -2