# Parameters of a Linear Equation

- Author:
- Justine Maroun, Steve Phelps

## y=mx+b

## Question 1

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

## Question 2

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

## Question 3

What happens to the line as you increase the value of 'm' from 0 to 5? * use the slider to change m on the diagram *

## Question 4

What happens to the line as you decrease the value of 'm' from 0 to -5? * use the slider to change m on the diagram *

## Question 5

What is the difference between the gradients in questions 3 and 4?

## Question 6

What happens to the line as you change the value of 'b'?

## Question 7

Write down the equation of the line with a gradient of 3 and a y-intercept of 5.

## Question 8

Write down the equation of the line with a gradient of -2 and a y-intercept of 9.

## Question 9

Write down the equation of the line with a gradient of and a y-intercept of -3.

## Question 10

Make the equation y=-2.5x-4 on the graph above using the sliders. Using the graph you have created, give a rough approximation of x-intercept.