Write an equation in slope intercept form of the line that passes through the given points (3,-2) and (6,1)

Answer 1

Assume (x,y) is some arbitrary point on the line. The slope of the line can be written m = (y - -2) / (x -3).

The slope is also (-2 -1) / (3 - 6) = -3 / -3 = .1. Substitute this for m in the first equation.

1 = (y + 2) / (x - 3). Solve for y to get y = x -5 where 5 is the y intercept.

Answer 2

We start off by calculating the slope of this line using change in y over change in x:

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

Then we use the point/slope form of a line with the slope and one of the points:

(y - 1) = 1 * (x - 6)

And we convert this to the slope/intercept form:

y = x - 5