Question

Which linear equation represent the graph

Answer 1

Option C.
`y=5x-1`

Explanation:

step 1

Find the slope of the linear equation

take two points from the graph

(0,-1) and (1,4)

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(4+11)/(1-0)`

`m=(51)/(1)`

`m=5`

step 2

Find the linear equation in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`m=5`

`b=-1` ----> the y-intercept is the point (0,-1)

substitute

`y=5x-1`