Answer:
Graph B is the answer.
Step-by-step explanation:
The given equation y = x + 3 represents a linear function so graphs B or D having a line may be the answer.
Now we take the graph B.
Line in this graph passes through points (0, 3) and (-3, 0) and y intercept is 3.
Then slope of this line will be = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{0-3}{-3-0}[/tex]
= 1
Therefore, equation of the line in this graph will be y = x + 3
Now we take graph D which passes through (0, 3) and (3, 0) and y-intercept is 3.
Slope of the line = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{0-3}{3-0}[/tex]
= -1
Now the equation this line will be y = -x + 3
Therefore, the answer is Graph B.
