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Which equation in point slope form passes through the point (-1,6) and has a slope for 2/3

User Yakira
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1 Answer

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Sure!

The point-slope form of the equation of a line is expressed as y - y1 = m(x - x1).

In this equation:
- m is the slope of the line
- (x1, y1) are the coordinates of a particular point the line passes through

The point we're given here is (-1, 6), so we can assign:
- x1 = -1
- y1 = 6

The slope m is also given as 2/3, so m = 2/3.

We can place these values into the point-slope form equation, which gives us:

y - 6 = 2/3(x - (-1))

But as mathematicians, we usually like to tidy up our equations a bit. Since subtracting a negative is the same as adding a positive, we can rewrite this as:

y - 6 = 0.6666666666666666(x + 1)

Now the equation is in point-slope form, and we know for certain that this line passes through the point (-1, 6) and has a slope of 2/3.

User Jjed
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