Write an equation in slope-intercept form of the line satisfying the given conditions. Parallel to 7x+3y= -61 Through (-7,-12)

Question

This is what I have so far

 

Start with 7x+3y= -61

 

y=mx+b

 

Y=-7/3x - 61/3 correct?

 

It is asking for parallel so it must have the same slope which is -7/3 correct?

 

Now is where I need the help

Answer 1

Alright, Steve, let's do this.

 

Yes, the slope is -7/3.  Now, we take the info we have and plug it in to find our b.

 

-12 = (-7/3)(-7) + b

-12 = 49/3 + b

-85/3 = b

 

We take our b and plug it in with our m to get y = (-7/3)x - 85/3

 

Hope this helps!