Introduction to the Basic Equation of a Straight Line

The video tutorial explains the general equation of a straight line, y = mx + c, where m is the gradient and c is the y-intercept. It covers how to calculate these values using examples, including a practical application of converting Celsius to Fahrenheit. The tutorial emphasizes understanding the gradient's role in determining the line's steepness and direction, and the y-intercept as the point where the line crosses the y-axis.

What is the general equation of a straight line?

• y = x^2 + 2x + 1

• y = mx + c

• y = ax + b

• y = ax^2 + bx + c

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

• The constant term

• The x-coordinate

• The gradient

• The y-intercept

How do you determine the gradient of a line using two points?

• Add the x-coordinates and y-coordinates

• Subtract the y-coordinates and divide by the difference in x-coordinates

• Multiply the x-coordinates and y-coordinates

• Divide the x-coordinates by the y-coordinates

What is the y-intercept of a line that crosses the y-axis at 3?

• 1

• -3

• 0

• 3

If a line has a negative gradient, what does this indicate about its direction?

• The line slopes upwards

• The line slopes downwards

• The line is vertical

• The line is horizontal

What is the gradient of a line if the rise is -8 and the run is 12?

• -3/2

• 2/3

• -2/3

• 3/2

How do you convert Celsius to Fahrenheit using the equation derived from the graph?

• Multiply by 2 and subtract 32

• Multiply by 1.5 and add 35

• Multiply by 2 and add 30

• Multiply by 1.8 and add 32