Question

A line is parallel to y = 4x – 2 and

intersects the point (5, -11).
What is the equation of this parallel line?
y = [?]x +
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

Answer 1

y=4x-31

Explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

--------------------

Also rate and tell me if I'm correct :)