Graphing Linear Equations: Slope and Y-Intercept Explained

The video tutorial introduces linear equations, explaining their definition and significance. It covers the standard form y=mx+b, detailing the roles of m (gradient) and b (y-intercept). Through examples, the video demonstrates how to plot linear equations on a graph and interpret their features. The tutorial concludes with additional examples and a preview of future topics.

What is the shape of the graph when plotting a linear equation?

• A circular line

• A straight line

• A curved line

• A zigzag line

Which of the following is a standard form of a linear equation?

• y = a^x + b

• y = a/x + b

• y = ax^2 + bx + c

• y = mx + b

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

• The constant term

• The slope or gradient

• The y-intercept

• The x-intercept

If x = -3 in the equation y = 2x + 3, what is the value of y?

• -6

• 3

• 0

• -3

What is the y-intercept in the equation y = 2x + 3?

• 3

• -3

• 2

• -2

How does the graph of y = 2x + 3 change as x increases by 1?

• It goes down by 1

• It goes up by 2

• It goes down by 2

• It goes up by 1

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

• 0

• 1

• 4

• -1

For the equation y = -2x - 3, what is the y-intercept?

• -3

• 2

• 3

• -2

What does a negative gradient indicate about the direction of the graph?

• It forms a curve

• It goes upwards

• It goes downwards

• It remains constant

In the equation y = -2x - 3, how does the graph change as x increases by 1?

• It goes up by 2

• It goes down by 2

• It goes up by 3

• It goes down by 3