HLP A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8. What is the value of b?

Step-by-step explanation:

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

And we also know that it is parallel to

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:

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:

Distribute:

Simplify:

Subtract 10 from both sides:

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.