A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again
10 + 3 square root 27/1000 - 5
Step 2: calculate the cube root
10 + 3/10 -5
Step 3: subtract the #’s
5 + 3/10
Step 4: calculate and you get
53/10
Answer: 53/10
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
the answer to the question is 4,778
