Finding The Equation Of A Line Through 2 Points PART 1

In this video, Lucy explains how to find the equation of a straight line passing through two points. She covers calculating the gradient using the formula (y2-y1)/(x2-x1) and determining the y-intercept using the y=mx+c format. The video emphasizes understanding the gradient and y-intercept concepts and provides a step-by-step guide to forming the line equation. Lucy also previews the next part, which involves solving without a graph.

What is the standard form of the equation of a straight line?

• y = mx + c

• y = ax^2 + bx + c

• y = ax + b

• y = x^2 + 2x + 1

How do you calculate the gradient of a line passing through two points?

• Subtract the x-values from the y-values

• Add the x-values and y-values

• Divide the difference in y-values by the difference in x-values

• Multiply the x-values and y-values

Which of the following is NOT a method to find the gradient of a line?

• Using the rise over run method

• Using the midpoint formula

• Using the formula (y2 - y1) / (x2 - x1)

• Using the change in y over change in x

If the gradient of a line is 2 and it passes through the point (4, 3), what is the y-intercept?

• 2

• 5

• -5

• 3

What is the equation of a line with a gradient of 2 and a y-intercept of -5?

• y = -2x - 5

• y = 2x - 5

• y = 2x + 5

• y = -2x + 5