Question

Which equation describes the graph below.

Answer 1

Explanation:

The Correct answer is D (y=x+3)

If you check the graph, you will see that the line passes through points (0,3) and (1,4). By writing the slope of the line
`slope=(y2-y1)/(x2-x1) =(4-3)/(1-0) =1` , we have slope=m=1. The general form of the line is y=mx+b. We just found that the m (slope) is equal to 1 so the general form will be y=x+b. point (0,3) is located on this line. by substituting value of x(=0) and y(=3) in the formula (y=x+b) : 3=0+b and b=3. So, the equation is y=x+3.