Which linear equation represent the graph

Option C.

Step-by-step 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

substitute the values

step 2

Find the linear equation in slope intercept form

where

m is the slope

b is the y-intercept

we have

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

substitute

2.2y-2x = 0

Step-by-step explanation:

The standard form of the equation is normally y = mx + c where m is the gradient or the slope value while c is the y intercept.

As we know, the line passes through the origin, hence, it has no y intercept. This means our c has a value of zero.

What is left to find is the slope of the line.

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

m = (2 - 0)/(5 - 2.8)

m = 2/2.2 = 0.9091

so the standard form of the equation of the line is y = 0.9091x

OR

y = (2/2.2)x

OR

2.2y = 2x