A line, y = mx + b, passes through the point (1, 6) and is parallel to
y = 4x + 6. What is the value of b?

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hannahnorth34 hannahnorth34 · Answer 1 · 2020-01-15T00:18:07+01:00

Answer: b=6

Step-by-step explanation:

6 is in the y intercept place so it equals 6

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AarushiAanand AarushiAanand · Answer 2 · 2022-05-17T19:58:29+02:00

The value of b is 2

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions

Parallel lines are lines that never cross each other - they keep the same distance apart from each other. For parallel line the slopes are equal

According to the question the given line is y = mx + b and the parallel line is

y = 4x + 6

As slopes are equal thus m=4 and given the line y = mx + b passes through the point (1, 6) thus put (1, 6) in y = mx + b

6=4(1) +b

6-4=b

2=b

Thus the value of b= 2

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