# How do you find a standard form equation for the line with point (1, 1) and has a y-intercept?

##### 2 Answers

see explanation

#### Explanation:

Standard form of an equation involves two intercepts, x and y intercepts...

...but you only have one intercept, and it's not complete.

Is this all the information you have?

The y-intercept

#### Explanation:

Initially, due to the lack of information it is tempting to write:

The gradient is such that you read left to right on the x-axis> So to force this to work we must have:

For the gradient set

For the gradient set

Under these conditions we can write:

Let the gradient be

Let the y-intercept be

Then we have

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We are given that the line passes through the point (1,1)

Set the point as

So we have the answer of 1 when

Thus the standard form of

Note that

Thus as the y-intercept is at

Thus