Her answer represents "-3.7 less than 4 times a number is 11.9". The correct equation should be -3.7n-4=-11.9.
Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.
We plug our points into this formula to find slope.
Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.
y=mx+b
y=1/2x+b
1=1/2(4)+b
1=2+b
b=-1
Now that we know b, our equation is y=1/2x-1.
The student went wrong in step three. the solutions should have been -3 and 5
100 ---> 96 is -4
96 ---> 104 is +8
104 ---> 88 is -16
88 ---> 120 is +32
120 ---> 56 is -64
So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.
The pattern of numbers is: -4, +8, -16, +32, -64
Notice it's the powers of 2:
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.
The last difference is -64, which doubles to -128. Change the sign to positive to get +128
Add 128 to the last term of 56 to get
128+56 = 184
Therefore, the final answer is 184
Answer:
y = x
Step-by-step explanation:
line has a slope 1 and passes through the origin . So the equation is y = x
