Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:Rocket Launch A toy rocket is launched straight up in the air from level ground. The distance (in ft) the rocket is above the ground (the position function) is <em>f (t) = 170t -16t2 at any time t (in sec) . Find </em>
Step-by-step explanation:
Answer:
$6.66 and $7.04
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Answer:39
Step-by-step explanation:
3 metres from one end to the third mark
Solution:
Total length of wood = 10 metre
Wood is marked into 10 equal length.


= 1 metre
Length of each marking = 1 metre
Number of metres from one end to third mark = 1 + 1 + 1 = 3 metre
The image of the marking is attached below.
Hence 3 metres from one end to the third mark.