Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
Plug in the coordinates above:
Simplify:
Thus, the rate of change between the points is -1.
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is ;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = x (-1) + c
c = 2 + =
The equation of the new line is;
y = x +
or multiply through by 5;
5y = x + 11
Answer:
Number of child tickets = 800
Number of adult tickets = 330
Step-by-step explanation:
Let c = number of child tickets
and a= the number of adult tickets.
We are given:
The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.
On a certain day, 1,130 enter the festival and 2, 520 is collected.
Making equations:
(because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)
(because total money collected is 2520, so adding coat of adult and child tickets will give us total money)
Now, solving these equations simultaneously, we can find values of x and y
Let:
From equation 1 find value of c and put it in eq(2)
Putting value of c in eq(2)
So, we get value of a = 330
Now, punting value of a in eq(1) to get value of c
So, we get value of c = 800
Therefore:
Number of child tickets = c= 800
Number of adult tickets = a = 330