Passing through 2 -7 and 5 2 in slope y intercept form?

Answer 1

So, the objective is to find the equation of the line that passes through the points (2, -7) and (5, 2).

The easiest way to do this would be to use the point-slope equation:
y - y1 = m(x - x1)
2 - 5 = m(-7 - 2)
-3 = m(-9)
m = 1/3

Now that we have the slope, we need to find the y-intercept (b)
y = mx + b

y = (1/3)x + b
or
y - (1/3)x = b
Now substitute in one of the points (2, -7)
-7 - (1/3)2 = b
b = -7.666

So the answer would be:

y = (1/3)x - 7.666