Type an equation for the
following pattern.

y=[? ]x+[ ]

Y = -x + 6

To solve for the slope, choose two pairs of coordinates and substitute their values into the slope formula.

Let (x1, y1) = (1, 5)
(x2, y2) = (2, 4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(2 - 1)
m = -1/1
m = - 1
Therefore, the slope, m = -1.

For the y-intercept, choose one of the given points, and use it along with the slope to solve for the y-intercept. Using point (2, 4) and the slope, m = -1, substitute their values into the slope-intercept form:

y = mx + b
4 = -1(2) + b
4 = -2 + b

Add 2 to both sides to solve for b:
4 + 2 = -2 + 2 + b
6 = b

Therefore, the linear equation is :

y = -x + 6

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