Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by ![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
The way you do this is 5322÷5 which equals 1064.4
Answer:
The answer to your question is y = 1/2x - 7
Step-by-step explanation:
Data
Point = (0, -7)
line = y = 1/2x + 5
Parallel line have the same slope.
Slope of the first line = 1/2
Slope of the new line = 1/2
Equation of the line
y - y1 = m(x - x1)
Substitution
y + 7 = 1/2(x + 0)
Simplification
y + 7 = 1/2x
result
y = 1/2x - 7
Did you ever find the answer?
a
7
because 4a + 7 - 7
35 - 7
equals 4a
28
and 4a/4
28/4
equals a
7