GCSE Maths - What on Earth is y = mx + c #67

The video tutorial explains why line equations are often written in the form y = mx + c, highlighting the convenience of this format for comparing and graphing lines. It details the roles of m (gradient) and c (y-intercept) in determining a line's slope and where it crosses the y-axis. Through examples, the video demonstrates how to plot lines and rearrange equations into the standard form. It also addresses special cases where equations appear to lack m or c values, explaining how to interpret these situations.

What does the 'm' represent in the equation y = mx + c?

• The y-intercept of the line

• The gradient of the line

• The x-intercept of the line

• The constant term of the equation

If an equation is given as 2y - 4x = 6, what is the first step to convert it into the form y = mx + c?

• Divide both sides by 2

• Multiply both sides by 2

• Add 4x to both sides

• Subtract 4x from both sides

After rearranging the equation 4y + 16 = 2x, what is the y-intercept?

• -16

• 16

• -4

• 4

In the equation y = 3x, what is the y-intercept?

• 1

• 4

• 3

• 0

For the equation y = x + 4, what is the gradient?

• x

• 1

• 0

• 4