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Answer:
y= -3x+8
Step-by-step explanation:
The first step is to find the slope
m = ( y2-y1)/(x2-x1)
= ( 14-5)/(-2 -1)
= 9/-3
= -3
The slope-intercept form is y = mx+b where m is the slope and b is the y intercept
y = -3x+b
Using one of the points, we can substitute into the equation and solve for b
5 = -3(1)+b
5 = -3+b
Add 3 to each side
5+3 = -3+b+3
8 = b
y= -3x+8