y = mx + b, where m = slope, and b = y-intercept.
Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)
y = (4/5)x + b
-3 = (4/5)(-5) + b
-3 = -4 + b
1 = b
Then replace b in the first equation to get the answer
y = (4/5)x + 1
The slope of Line B is -1/5
let X be number of students
and y be total cost
when 30 students (30,X)where at the gym it's costs 200 (y,200)
=that is (X,y)=(30,200)
when 70 students where at the gym
=(X,y)= (70,330)
now we find the slope
M=y2-y1/x2-x1
= 330-200/70-30
= 100/40
= 2.5=3
now
Y=Mx+b
Y=2x+b
we need to find the value of b
so,we substrate for X and Y
X=30,200
200=2(30)+b
re-arrange
B+60=200
B=200-60
=140
y=2x+140
For the other questions, I can look at the equation I got. The y-intercept (b value) is $200. That means that we are adding $200 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.
hope it's helpful
and please I really need brainliest, thanks
