Which equation matches the function shown below?

Step-by-step explanation:

Pick the two easiest points to deal with.

(0,4)  and (2,0)

Find m

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

y2 = 4

y1 = 0

x2 =0

x1 = -2

m = (4 - 0)/(0 - - 2)

m = 4/2 = 2

Now use one of the points to find b

y = mx + b        Use (0,4)

4 = 2*0 + b

b = 4

The equation you want is y = 2x + 4

d

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.