Answer:
4th option - over the interval (4,7) the local minimum is -7
Step-by-step explanation:
There's only one local minimum in this graph and it's the one between (4,7), so this is the only plausible answer.
Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

Let's use the distributive property on the right side:

Now add 4 to both sides

Which simplifies to:

Since that's the equation of our line, now we can plug in coordinates and see what it churns out.
We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:



So the y-coordinate for point P =
10
Answer:
y=2/7x+19/7
Step-by-step explanation:
Slope = m = (y₂-y₁)/(x₂-x₁) = (5-3)/(8-1) = 2/7
Therefore, our equation so far is y=2/7x+b where we can calculate b, the y-intercept by plugging in one of our given points [I used (1,3)]:
y=2/7x+b
3=2/7(1)+b
3=2/7+b
21/7=2/7+b
19/7=b
Therefore, our final equation is y=2/7x+19/7
The ratio depicts that their is 63 boys and 16 girls based on the ratio 7:4.
I hope this helps!