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Line passing through points
(1, 3) and (2, 5)

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Answer:

Explanation:

The general formula is y=mx+b

Calculate the slope, m.

m=(y2-y1)/(x2-x1)

m=(3-5)/(1-2)

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

The slope is 2.

So plug that into the equation y=mx+b

y=2x+b.

Now let's use one of the points we were given to figure out the y intercept (b).

y=2x+b, plug in (1,3)

3=2(1)+b

3=2+b

1=b

So the intercept is 1.

Now we know the equation is y=2x+1.

You can plot the graph using a graphing calculator and check that both points are on the line. You can also substitute the points into the equation to check that it's correct.

User Adorablepuppy
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