# How do you find the slope and y intercept for #y = -2x + 7#?

##### 1 Answer

#### Explanation:

The slope is the amount of up or down for the amount of along and is directly related to the change in

So if you had say, 6 down (change in y value) for 3 along (change in x value) the slope is

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But if we treat this as a ratio and divide both numerator and denominator by 3 we have:

So for every 1 along we have 2 up or down.

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We need to have a way of showing if the slop is upwards or downwards. The convention for this is that if we have -2 then the slope is downwards if we move from left to right. In which case +2 means upwards.

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This is when the line crosses the x-axis. The x-axis it at

So to find this we substitute

Add

Divide both sides by 2 giving:

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This when the line crosses the y-axis. The y-axis is at

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