Answer:
12 is the y intercept and -3x is the slope
Step-by-step explanation:
Solution:
<u>Note that:</u>
- Slope = m = 4
- Given point: (x₁,y₁) = (1,1) [x₁ = 1; y₁ = 1]
- Formula: y - y₁ = m(x - x₁)
<u>Use the formula to convert the line in point slope form.</u>
- y - y₁ = m(x - x₁)
- y - 1 = 4(x - 1)
The equation of the line (In point slope form) is y - 1 = 4(x - 1).
Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
