Answer:
y = 2/7x + 13/7 (slope intercept : y = mx + b)
Given two points (4, 3), and (-3, 1) You can start off with point slope because you are just given points.
Point slope: y - y1 = m(x - x1).
Point 1 : (4, 3) → (x1, y1). Point 2 : (-3, 1) → (x, y).
→ 1 - 3 = m(-3 - 4)
-2 = m ( -7 )
-2 = -7m
2/7 = m
m = 2/7.
Since you have the slope, all you need is one point.
y - 3 = 2/7 ( x - 4 )
y = 2/7 ( x - 4 ) + 3
y = 2/7x - 8/7 + 3
y = 2/7x - 8/7 + 21/7
y = 2/7x + 21/7 - 8/7
y = 2/7x + 13/7
*taydah*
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or if you don't like point slope, you can just find the slope between the two points, and then find the y intercept.
m = y2-y1/x2-x1
m = 3-1/4--3
m = 2/7
Then multiply the slope by the x of one of the coordinates, and subtract one of the y values from the coordinates from the slope multiplied by the x of the same coordinate.
let's use (-3, 1)
→ 1 - -3 ( 2/7 )
1 + 3 ( 2/7 )
1 + 6/7
13/7
*Here is the y intercept*.
Then just put this in the form y = mx + b and you are done!
y = mx + b → y = 2/7x + 13/7