# How do you write an equation of a line given slope is 3/7 and the ordered pair is (0, 5/6)?

##### 3 Answers

#### Explanation:

The general equation of a straight line is:

Where

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We are told that the gradient (slope) is

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We are given a condition where this equation is true. We are told that it passes through the point

So we van substitute for both

But

Thus the finished equation is:

#### Explanation:

There is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

Using this formula requires only ONE step with substitution and some easy simplifying. Works like a dream...

However, in this particular case, no working was required at all.

The slope, m is given as

Alternative approach

#### Explanation:

Let the slope (gradient) be

The gradient (slope) the change in up or down for a given change in along.

Let given point be

Let any other point be

Then

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