Question

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

Answer 1

Answer:

$b=2$

Step-by-step explanation:

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

And we also know that it is parallel to $y=-\frac{3}{4}x+8$

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:

$y-(-10)=-\frac{3}{4}(x-16)$

Distribute:

$y-(-10)=-\frac{3}{4}x+12$

Simplify:

$y+10=-\frac{3}{4}x+12$

Subtract 10 from both sides:

$y=-\frac{3}{4}x+2$

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.