Question

Which is the equation of a line that is parallel to the line represented by y= 7/6 x + 4 ?

Answer 1

In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:

y = 7/6x + b

Now, assuming that the new line passes through the point (1,1):

1 = 7/6*1 + b

b = -0.17

Replacing b:

y = 7/6x - 0.17

Answer 2

Let’s rewrite the given equation

y=7/6x+4

Knowing that the new equation is parallel to this one will only tell us the slope. If it is parallel, it shares the slope.

So far our equation of the new line will be this:

y=7/6x+b

Now we need b. B can be any number other than positive 4. Usually, one would find this through a point. Since you do not have one, we cannot find a definite answer. However, you can substitute any number other than 4 to make this equation parallel.

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