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).
4. is A 15
5. is C 12
6. is B 4, 8, 12, 16
hope this helps :)
Your answer would be R=-5x-4+y
Answer:
Mr. Sato needs 9 more magnets.
Step-by-step explanation:
The 24 students will form 12 pairs. The total number of magnets needed is 12*3 = 36. Mr. Sato gave out 9*3=27 magnets already and so he will need 36 - 27 = 9 more magnets.
