There are 4 quarts in a gallon so 1/4 is a quart
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.
First step is to find the gradient.
m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4
We have y = (13/4)x + c
Now we replace one of the coordinates to find c. Let’s replace (4,-8)
We have: -8 = (13/4)*4 + c
-8=13+c
c=-8-13= -21
Therefore, equation of line is:
y = (13/4)x - 21
So you first want to move all variables to one side.
2x = 1/8 + 4x
So perform the opposite of each operation to move it.
2x - 4x = 1/8 + 4x - 4x
-2x = 1/8
And then just divide both sides by -2
-2x / -2 = 1/8 / -2
x = -1/16
Answer:
a = -15, b = -.5, c = -1
Step-by-step explanation:
1/3a = -5 --> multiply each side with 3 --> a = -15
12 - b = 12.5 --> subtract 12 from both sides --> -b = .5 --> multiply each side with -1 to get b positive --> b = -.5
.1 = -10c --> multiply each side with -10 --> c = -1