(4,3)(-3,1) slope intercept

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*

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

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step-by-step explanation:

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