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:
A tranlation and a rotaion.
Step-by-step explanation:
In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.
Answer:
c = -2
Step-by-step explanation:
Given equation is :
4(3+c)+c=c+4
12 + 4c + c = c + 4
12 + 4c = 4 [dividing by 4]
3 + c = 1 [adding and subtracting 3]
c = -2
Answer:
35 % are herbs
Step-by-step explanation:
7 = 35
20 = 100
