# How do you graph #y = 3x + 5#?

##### 1 Answer

graph{3x+5 [-10, 10, -5, 5]}

#### Explanation:

For a linear graph, the quickest way to sketch the function is to determine the

**Let's calculate the #y# intercept first:**

With any function,

Therefore, substituting

Therefore, the

**Let's calculate the #x# intercept next:**

Recall that with any function:

The opposite is also true: with any function

If we substitute

Let's now rearrange and solve for

Therefore, the

**Now we have both the #x# and #y# intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them**

The graph of the function

graph{3x+5 [-10, 10, -5, 5]}