We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
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For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
I got -3.........................
-7 - 7p = 3p + 23
Move the -7p over to the right....by adding
-7 = 10p +23
Move the 23 over to the left by subtracting
-30 = 10p
divide by 10
p = -3
I used 3.14 for pi to solve easier.
6. 6.28
7. 21.98
8. 94.2
Answer:
x = -3, y =3
Step-by-step explanation:
y = -4/3x - 1
y = 1/3x + 4 -------> 4y = 4/3x + 16
Adding the first equation and the new second equation together:
5y = 15 ------> y = 3
Plug y = 3 into one of the original equations:
3 = 1/3x + 4
-1 = 1/3x
x = -3