Question

Which graph represents y=x+3? Question 5 options:

Answer 1

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 = $\frac{y-y'}{x-x'}$

                                                 = $\frac{0-3}{-3-0}$

                                                 = 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 = $\frac{y-y'}{x-x'}$

                            = $\frac{0-3}{3-0}$

                            = -1

Now the equation this line will be y = -x + 3

Therefore, the answer is Graph B.

Answer 2

Answer:

Option 2

Step-by-step explanation:

y=x+3 is a positive slope so the line going up to the right is a positive slope and the line passes through y-intercept at 3