Answer:
By applying the slope formula , I find that the slope of segment DE is zero since the difference between the y coordinates of points D and E is zero and any number divided into zero is zero. The slope of segment AB is also zero because (0-0) /(x2-0) =0 Because the two segments have the same slope they must be parallel according to the definition of parallel lines.
Step-by-step explanation:
slope formula = (y2-y1)/(x2-x1)
slope for DE = (y1/2-y1/2)/((x1+x2/2 - x1/2)
= 0 /(x2/2)
= 0
slope for AB = (0-0)/((x1+x2/2 - x1/2)
= 0 /(x2-0)
= 0/x2
=0
Parallel lines have the same slope
Answer and Explanation:
<em>Solving 3x + 2y = 9 for y gives y = -(3/2)x + (9/2).
</em>
Answer:
The equation that matches this situation is y = 8.34x + 25 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (initial value)
The rule of the slope is m = Δy/Δx, where
∵ Lisa collects rainwater in a barrel that weighs 25 pounds
∴ The initial value of the weight is 25 pounds
∴ b = 25
∵ When there are 10 gallons of water in the barrel, the total weight
of the barrel and the water is 108.4 pounds
∴ At x = 10, y = 108.4
∵ When there are 20 gallons of water, the total weight is 191.8 pounds
∴ At x = 20, y = 191.8
→ Find Δx and Δy
∵ Δx = 20 - 10 = 10
∵ Δy = 191.8 - 108.4 = 83.4
→ Substitute them in the rule of the slope above
∴ m =
∴ m = 8.34
→ Substitute the values of m and b in the form of the equation above
∵ y = 8.34x + 25
∴ The equation that matches this situation is y = 8.34x + 25
Answer: pretty sure the answer is D
Step-by-step explanation: