Find the equation of the line in slope intercept form that passes through (0,4) and is parallel to the line 4x-3y=12?

y=−4/3x+8

Step-by-step explanation:

Let’s say that the parallel line takes on this form.

y=mx+b  

If the line is parallel, that means that the m of the two lines are equal.

If we solve the line we were given for y, we find…

4x+3y=12→y=−4/3x+4

so, we know that our line that we’re trying to find must be of the form  

y=−4/3x+b

Now we can plug in a point to fix that b part.  

(4)=−43(3)+b→b=8

So, that means…

y=−4/3x+8

y=−4/3x+8

Step-by-step explanation:

y=mx+b

4x+3y=12→y=−4/3x+4

y=−4/3x+b

4)=−4/3(3)+b→b=8

y=−4/3x+8

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5