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:
Slope (m)
-0.2222
m = 2 / -9 = -0.222
Step-by-step explanation:
Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )
Answer:
3(x-2)+x=4x+6
Step-by-step explanation:
case 1) we have
3(x-2)+x=4x-6
Solve for x
3x-6+x=4x-6
4x-6=4x-6
0=0 ----> is true for any value of x
therefore
The equation has infinite solutions
case 2) we have
3(x-2)+x=2x-6
3x-6+x=2x-6
4x-2x=-6+6
2x=0
x=0
case 3) we have
3(x-2)+x=3x-3
3x-6+x=3x-3
4x-3x=-3+6
x=3
case 4) we have
3(x-2)+x=4x+6
3x-6+x=4x+6
4x-4x=6+6
0=12 ------> is not true
therefore
The equation has no solution
