Question

Consider the line shown on the graph.

40

36

32

28

24

20

16

12

8

4

0

2

8

10 12

14

16

18 20

22

Enter the equation of the line in the form y = mx where m is the slope.

Answer 1

y = 4x

Explanation:

the equation of a line 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 ) = (4, 16) ← 2 points on the line

substitute these values into the formula for m

m =
`(16-0)/(4-0)` =
`(16)/(4)` = 4

y = 4x ← equation of line