Question

Write a rule for the linear function in the graph.

Answer 1

so lets first find the gradient using the gradient formula which is \[\frac{y2-y1}{x2-x1}\]

Answer 2

(4,3) and (3,1) are the two coordinate points given.

Answer 3

m = \[\frac{3-1}{4-3}\]
= 2/1
= 2

Answer 4

now we have to use the formula for finding an equation
y2-y1=m(x2-x1)

Answer 5

we use any point (4,3) or (3,1) given and also sub in the gradient.

Answer 6

lets use (3,1) m=2
y2-y1=m(x2-x1)
y2-1 = 2(x2-3)
y - 1 = 2x - 6
y = 2x -6 + 1
y = 2x -5

Answer 7

Is there another way to solve this?

Answer 8

um no, but it is very simple to understand u just have to try harder.