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Find equation of the line shown

Find equation of the line shown-example-1

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Answer:

y=x+6

Explanation:

the general form is y=mx+b where m is the slope and b is the intercept.

We can see that the intercept is 6.

Let's calculate the slope. Note: we should have a positive slope because as x increases, y increases.

slope = rise/run = (y2-y1)/(x2-x1)

Pick 2 points from the line. Any 2 points will work. I'm going to use (0,6) and (2,8).

slope = (6-8)/(0-2)

= (-2)/(-2) = 1

The slope is 1. So for every increase of 1 on the x axis, the y axis increases by 1. You can quickly check that visually.

So the formula:

y=x+6

User FadyFouad
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