The line with equation y=2x+b passes through the point (−4,0). The value of b is
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Solution
Since the line with equation y=2x+b passes through the point (−4,0), the coordinates of the point must satisfy the equation of the line.
Substituting x=−4 and y=0 gives 0=2(−4)+b and so 0=−8+b which gives b=8.
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