Linear Function (Straight Line graph)
y=mx+c
m<0 m>0
Gradient y-intercept
Methods of sketching:
1. The Table Method
In this method you use a table and substitute values for 𝑥 into the
equation in order to calculate a corresponding 𝑦 − 𝑣𝑎𝑙𝑢𝑒 giving you a
co-ordinate.
x -2 1 0 1 2
y
2. Dual Intercept Method
Determine the x- and y-intercepts and plot each intercept on the axis.
𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑥: 0 ∶ 𝑦 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑥.
𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 0; 𝑦 ∶ 𝑥 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑦 → (𝑦 = 𝑐)
y=mx+c
m<0 m>0
Gradient y-intercept
Methods of sketching:
1. The Table Method
In this method you use a table and substitute values for 𝑥 into the
equation in order to calculate a corresponding 𝑦 − 𝑣𝑎𝑙𝑢𝑒 giving you a
co-ordinate.
x -2 1 0 1 2
y
2. Dual Intercept Method
Determine the x- and y-intercepts and plot each intercept on the axis.
𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑥: 0 ∶ 𝑦 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑥.
𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 0; 𝑦 ∶ 𝑥 = 0, 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑦 → (𝑦 = 𝑐)
