Question

3. The graph of a linear function is shown.

The following points lie on the line: (0,50) and (11, 90).
What is the equation of the function?
Answer:
preem
100
80
60
40
20
0 2 4 6

Answer 1

y =
`(40)/(11)` x + 50

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 50 ) and (x₂, y₂ ) = (11, 90 )

m =
`(90-50)/(11-0)` =
`(40)/(11)`

the line crosses the y- axis at (0, 50 ) ⇒ c = 50

y =
`(40)/(11)` x + 50 ← equation of line