GCSE Maths | Equation of a Line

• equation of a straight line: y = mx + c
  • x: horizontal axis
  • y: vertical axis
  • m: gradient = change in y/ change in x between any two co-ordinates
  • c: y-intercept
• To find the y-intercept
  • make x=0 and solve for y
• To find the x-intercept
  • make y=0 and solve for x
• To find the intersection of two lines
  • equate each line and solve for x or y

Question 1

Question 2

find the x-intercept

Question 3

Find the gradient between the two points

• gradient = change in y/ change in x

Question 4

Find the equation of the line

Question 5

Rearranging the equation of the line

• get the line in the form y=mx+c

Question 6

Find the intersection between the two lines