1) 
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2) 
To find the x- intercept, plug y =0



x intercept = (2,0)
To find the y- intercept, plug x=0


Y- intercept = ( 0,3)
3) 
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle = 
Area of triangle = 
Area =
sq unit.
4) The graphs of
and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB = 
Slope intercept of line 
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.


Equation of line AB: 
Slope of BC = 
Plug C = (0,-4)

b=-4
equation of line BC= 
Slope of line AC = 
Equation of line AC = 
Y intercept of AB = 
Answer:
D. They have the same y-intercep
Step-by-step explanation:
Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .
(–2, –9) and (4, 6)
Gradient= (6--9)/(4--2)
Gradient= (6+9)/(4+2)
Gradient= 15/6
Gradient= 5/2
Choosing (–2, –9)
The equation of the line
(Y+9)= 5/2(x+2)
2(y+9)= 5(x+2)
2y +18 = 5x +10
2y =5x -8
Y= 5/2x -4
Choosing (4, 6)
The equation of line
(Y-6)= 5/2(x-4)
2(y-6) = 5(x-4)
2y -12 = 5x -20
2y = 5x-8
Y= 5/2x -4
From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept
Patricia drove for 3 hours. Carlos drove for twice that, 6 hours. 6+3=9