A line with equation y=2x+b passes through the point (−4,0). What is the value of b?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
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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