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Write an equation of the line that passes through the given points in any form.

Write an equation of the line that passes through the given points in any form.-example-1

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Answer:


y=(2)/(3) x+1

Explanation:

The slope is found by doing the equation
(rise)/(run). When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).

This gives us a slope of
(2)/(3).

The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

User NGambit
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