Answer:
![\large\boxed{y=2x-5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D2x-5%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Parallel lines have the same slope. Therefore if given line is
![y=2x+2](https://tex.z-dn.net/?f=y%3D2x%2B2)
then the slope of our line is
.
We have the equation:
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
The line passes through (-1, -7). Put the coordinsted pf the point to the equation:
![-7=2(-1)+b](https://tex.z-dn.net/?f=-7%3D2%28-1%29%2Bb)
<em>add 2 to both sides</em>
![-5=b\to b=-5](https://tex.z-dn.net/?f=-5%3Db%5Cto%20b%3D-5)
Finally:
![y=2x-5](https://tex.z-dn.net/?f=y%3D2x-5)
Part A: first multiply 2 by x and -3, then combine the like terms, after that add 6 from both sides, then subtract 6x from both side, the answer is -5.
4x + 2(x-3) = 4x + 2x - 11
4x +2x -6 = 4x + 2x - 11
6x -6 = 6x - 11
6x = 6x -11 +6
6x = 6x -5
6x-6x= -5
0 = -5
part B) add the like terms
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48