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
Answer:
4/9
Step-by-step explanation:
- The denominator is the bottom value of a fraction, therefore we can discount 9/2
- 1/9 = 2/18. 2/18 is smaller than 3/18 so we can discount 1/9
- 50/100 = 0.5
5/9 = 0.55555...
0.55555... is greatest than 0.5, therefore we can discount 5/9
Answer:
Step-by-step explanation:
Given


The given system is
can be represented by

The given system is consistent when determinant of A is not equal to zero



i.e. system is consistent for all value of k except 
