First we have to find the slopes and the points are (-3,4) ,(0,-2) .
![Slope = \frac{-2-4}{0-(-3)}](https://tex.z-dn.net/?f=%20Slope%20%3D%20%5Cfrac%7B-2-4%7D%7B0-%28-3%29%7D%20%20)
![slope = \frac{-6}{3}=-2](https://tex.z-dn.net/?f=%20slope%20%3D%20%5Cfrac%7B-6%7D%7B3%7D%3D-2%20%20)
Slope of parallel lines are equal. Therefore the slope of the required line is -2 too .
Using slope intercept form which is
y=m x+b
We have point (-5,2) and slope, m =-2
Substituting the values of x,y and m
2 = -2(-5)+b
2 = 10 + b
Subtracting 10
-8 = b
So we have slope = -2 and y intercept, b=-8. THerefore required equation of line is
y=-2x-8.
Check the picture below.
notice, when dividing we have to put the dividend in descending order, now, the cubic, square and single terms are there, but they have a coefficient of 0, as you see in the picture in green, so we add those properly.
Answer:
3 / 8 litres
Step-by-step explanation:
Total soup broth = 6 liters
Vegetable soup = 3 3/3 litres = 3 + 1 = 4 litres
Beef soup = 1 5/8 litres
Fraction of soup left :
Total - (vegetable + beef)
6 - (4 + 1 5/8)
6 - 5 5/8
6 - 5 - 5 /8
1 - 5/8
(8 - 5) / 8
= 3 / 8 litres