Question

HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.

What is the value of b?

Answer 1

`b=2`

Explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to
`y=-(3)/(4)x+8`

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

`y-y_1=m(x-x_1)`

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:

`y-(-10)=-(3)/(4)(x-16)`

Distribute:

`y-(-10)=-(3)/(4)x+12`

Simplify:

`y+10=-(3)/(4)x+12`

Subtract 10 from both sides:

`y=-(3)/(4)x+2`

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.