Answer: y = -4x+8
In other words, -4 goes in the first blank and 8 goes in the second blank
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Explanation:
Parallel lines have equal slopes, but different y intercepts.
The slope of y = -4x+1 is m = -4. So our answer will have this slope as well.
Use (x,y) = (2,0) along with that mentioned slope to get...
y = mx+b
0 = -4*2+b
0 = -8+b
0+8 = b
8 = b
b = 8 which is the y intercept
So we have m = -4 and b = 8 take us from y = mx+b to y = -4x+8
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As a check, plugging x = 2 should lead to y = 0
y = -4x+8
y = -4*2+8
y = -8+8
y = 0
The answer is confirmed.
