Write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4).

Question

anonymous · Answer

We know that parallel lines have the same slope. What is the slope of your given line? (Easier to see if you solve for y first)

anonymous · Answer

or, $$-\frac{ 4 }{3 }$$

anonymous · Answer

Solve for y first.

$$4x - 3y = -12$$
$$-3y = -4x - 12$$
$$y = \frac{4}{3}x + 4$$

anonymous · Answer

So, we need a line that has the same slope (4/3), and passes through the given point. We can just put this information into the point-slope form for a line:

$$y-y_o = m(x-x_o)$$

anonymous · Answer

My choises are: 

$$Y = \frac{ 4 }{ 3 }x + 8$$

$$Y = \frac{ 4 }{ 3 }x + 3$$

$$Y = -\frac{ 4 }{ 3 }x + 8$$

$$Y = -\frac{ 4 }{ 3 }x + 3$$

anonymous · Answer

Just plug in what you know and solve for y. It'll work out :)

anonymous · Answer

I think its B?

anonymous · Answer

Functions just lose me. :'(

anonymous · Answer

$$y - 4 = \frac{4}{3}(x+3)$$
$$y-4 = \frac{4}{3}x + 4$$
$$y = \frac{4}{3}x + 8$$

anonymous · Answer

So its A?

anonymous · Answer

Yes

anonymous · Answer

Thank you.