### Graphing Linear Equations Practice Question

#### Question 2

The picture shows five points V, U, T, S and P. Which are the 2 points when connected together with a line, will satisfy the linear equation of y = x + 1?

A. S and V
B. V and T
C. P and S
D. P and U

### Step by Step Solution

• #### Step 1

One way to solve question is to draw the graph of y = x + 1 on a piece of graph paper.

To draw the line, we need at least two points. So, let's draw a table to store the coordinates of two points.

• #### Step 2

Now, fill in the x-coordinates. We can pick any numbers. To make things easier, let's pick 0 and 1.

These x-coordinates will be used to calculate the y-coordinates later.

• #### Step 3

Now calculate the x-coordinate of the first point by substituting x = 0 into y = x + 1:

y = 0 + 1
= 1

For x=1, substituting x = 1 into y = x + 1:

y = 1 + 1
= 2

Fill in the table with these newly calculated y-coordinates.

• #### Step 4

Now plot these points onto the plane and connect them with a line as shown in the picture.

• #### Step 5

From Step 4, the line passes through the points P and U. Therefore, the answer for this question is D.

There is a faster way of solving this question. Can you find it?