Step-by-step explanation:
m=y²-y¹/x²-x¹
m=5-1/7-1
m=4/6
m= 2/3
The slope is 2/3
Convert to improper frist
2 and 7/8=16/8+7/8=23/8
2 and 1/4=8/4+1/4=9/4
(23/8)/(9/4)
make bottom 1
times the whole thing by (4/9)/(4/9)
(92/72)/(36/36)=
92/72=
23/18
1. Nintendo
2. A. True
3. A. Oscilloscope
Answer:
y = 2(x-3)^2 -12
y = -4/9(x-2)^2 +7 bonus
Step-by-step explanation:
The vertex form of a parabola is
y = a(x-h)^2 + k where (h,k) is the vertex
y = a(x-3)^2 - 12
We have one point given (0,6)
6 = a (0-3) ^2 -12
6 = a (-3)^2 -12
6 = 9a-12
Add 12 to each side
6+12 = 9a
18 = 9a
Divide each side by 9
18/9 = 9a/9
a=2
y = 2(x-3)^2 -12
We follow the same steps for the bonus
y = a(x-2)^2 +7
Substitute the point into the equation
3 = a (-1-2)^2 +7
3 =a (-3)^2 +7
3 = 9a +7
subtract 7 from each side
3-7 = 9a +7-7
-4 = 9a
Divide by 9
-4/9 =a
y = -4/9(x-2)^2 +7
