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Which equation below describes the line passing through the points (3 , -2) and (5 , 4)?

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The equation of a line is y=mx + b

m is the slope and b is the y-intercept (where on the y axis the line intersects it)

We can use the formula (y2-y1) divided by (x2-x1) to find the slope, m

Therefore (4+2)/(5-3)
This is 6/2 which is 3

The equation is now y=3x + b

Now we use one point and plug into the equation to solve for b

4=3(5) + b

4=15 + b

Therefore b is -11

The equation is y=3x-11
User Banu
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