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Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b):

(-4, 4) and (6, -4)

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Answer: y = -4/5x+4/5

Step-by-step explanation: 1.Use the slope formula to find the slope.

(-4,4) and (6,-4)

y2-x2 -4-4 -8 -4

_____=m _____ = — = —
y1-x1 6+4 10 5


After using the slope formula you get -4/5 as the slope. Now you only have the y- intercept left.

(-4,4)
y=-4/5x+b

-4=-4/5(4)+b

+16/5-4=-16/5+b+16/5

b=4/5


For the y-intercept, you have to pick one pair of the coordinates and substitute y and x for it. Then solve for b.

When you’re done put the slope for m and the y-intercept for b. The final answer is: y=-4/5+4/5

User Simon Mourier
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