# What is the equation of the line passing through #(34,5)# and #(4,-31)#?

##### 2 Answers

#### Explanation:

We will set up the co-ordinates as:

Now we do subtraction of the

We now divide the difference in

So

Equation of a straight line:

#### Explanation:

Standard form equation is:

Where m is the slope (gradient) and c is the point where the plot crosses the y-axis in this context.

The gradient is the amount of up (or down) of y for the amount of along for the x-axis.

So

As

Substitute (2) into (1) giving:

Now all we need to do is substitute known values for x and y to obtain that for c

Let

Then

Subtract

Substitute (4) into (3) giving: