find the general form of the equation of the line thru points A(4,-1) and B(-2,6)?

Question

please help

Answer 1

slope = (6 - -1) / (-2 - 4)
= 7/-6
7x + 6y = 7(4) + 6(-1)
7x + 6y = 22
y = (22-7x)/6

Answer 2

If you have 2 pairs of coordinates(x1,y1) and (x2,y2), the slope of the line is y2-y1 / x2-x1
The coordinate you choose as "1" or "2" doesn't matter as long as you are consistent.

Now you have an equation in the form
y = (slope) * x + intercept.
You insert ONE coordinate pair in for x and y and solve for the intercept.

Answer 3

find slope.

then plug into y=mx+b

m=slope

m= 6+1/-2-4
=7/-6

y=-7/6x+b
plug either of the set of points in the equation and find b and you have your answer