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.