Question

A line, y = mx + b, passes through the point (1, 6) and is parallel to

y = 4x + 6. What is the value of b?

Answer 1

Explanation:

Let the line to be found be Line 2

Given:

Line 1 :

y = 4x + 6

Since y = mx + b

We can substitute and find that the slope of Line 1 is 4

Therefore slope of Line 2 = (4)

Line 2:

Point - (1,6)

Slope - 4

Therefore: 6 = (4)(1) + b

So equating it we get : b = 2

Answer = 2