To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
Answer:
Y - 6x = - 20
Step-by-step explanation:
Y = 6x + c
Substituting the value of x and y
4 = 24 + c
Subtracting 24 from both sides
C = - 20
Y = 6x - 20
Subtracting 6x from both sides
Y - 6x =- 20
we know that given terms were i geometric progression.
which means common ratio is same between two consecutive terms .
here we have 8,40,200,1000.
we know that common ratio =second term/first term =40/8=5.
so each and every terms is multiplied by 5 to get next term for this series the term after 1000 is 5000 =1000*5.
in part b we have another series which is having common ratio of -2.
so we need to multiply with -2 to find next term.
80*(-2)=-160.
for part c the common ratio is -2 .
so we need to multiply with -2 *previous term =-2*16 =-32.
Answer:
-2
Step-by-step explanation:
Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2
Here h = -2, k = -3, x = -1, y = -5. Find a:
-5 - [-3] = a(-1 - [-2])^2, or
-5 + 3 = a(1)^2, or
-2 = a
The unknown coefficient is -2.
