Question

Write the rule for the linear function. Remember function rule is written using f(x).

Answer 1

f(x)=x

Because x-intercept is (0,0)
And y-intercept is (0,0)

Answer 2

f(x) = x

Explanation:

the equation of a linear function passing through the origin is

y = mx ( m is the slope )

calculate the slope m, using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

substitute these values into the formula for m

m =
`(3-0)/(3-0)` =
`(3)/(3)` = 1

y = x , and expressed as function

f(x) = x ← rule for linear function