we have that
x -----> represent student's tickets
y -----> adult tickets
Remember that the y-intercept is the value of y when the value of x is equal to zero
so
In this problem
the y-intercept is the number of adult's tickets when the number of student tickets is zero
and
The x-intercept is the value of x when the value of y is equal to zero
so
in this problem
the x-intercept is the number of students tickets when the number of adult tickets is zero
Looking at the graph the y-intercept is the point (0,6)
the x-intercept is the point (12,0)
step 2
Find the price of each ticket
with the y-intercept (0,6)
we have that
$60=6y
y=$10
with the x-intercept
we have
$60=12x
x=$5
therefore
the price of each adult ticket is $10 and the price of each student ticket is $5
Part 2
we have the system of equations
5x+6y=-8
2x+3y=-5
solve the system of equations by graphing
Remember that when solving by graphing, the solution is the intersection point both lines
so
using a graphing tool
see the attached figure
please wait a minute
therefore
the ordered pair (8,-8) is a solution of equation 1 (because lie on the line 1)
the ordered pair (2,-3) is a solution of equation 1, equation 2 and system of equations (because lie in both lines)
the ordered pair (-4,1) is a solution of equation 2 (because lie on the line 2)
