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:
X = 12
Y = 4
Step-by-step explanation:
X + Y = 16
X = 3Y
3Y + Y = 16
4Y = 16
Y = 4
X + 4 = 16
X = 12
Answer:
It would be 5000
Step-by-step explanation:
It would be 500 b/c the number is a greater number that is 4802 and it is closer to 5000 than 4000
