Answer:
Step-by-step explanation:
The general equation of the slope intercept is y = mx + b.
Givens
m = 2
point: -3, - 6
Solution
Find the slope first
y = mx + b
y = 2x + b
Now use the fact that
-6 = 2*(-3) + b So you are solving for b
-6 = - 6 + b Add 6 to both sides.
-6 + 6 = -6+6 + b
b = 0
Final Answer
y = 2x
Answer:
(x + 1)(x + 7)
Step-by-step explanation:
Assuming you require the expression factored
x² + 8x + 7
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 1 and + 7 , since
1 × 7 = 7 and 1 + 7 = 8 , then
x² + 8x + 7 = (x + 1)(x + 7) ← in factored form
The measurement is -129 because the opposite point or angle is 29. So therefore reversing or pointing toward it would be 129
![\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=a+5\\ w=a-2\\ A=60 \end{cases}\implies 60=(a+5)(a-2) \\\\\\ 60=\stackrel{F~O~I~L}{a^2+3a-10}\implies 0=a^2+3a-70 \\\\\\ 0=(a+10)(a-7)\implies a= \begin{cases} -10\\\\ 7 ~~ \textit{\LARGE \checkmark} \end{cases}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20rectangle%7D%5C%5C%5C%5C%20A%3DLw%20~~%20%5Cbegin%7Bcases%7D%20L%3Dlength%5C%5C%20w%3Dwidth%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20L%3Da%2B5%5C%5C%20w%3Da-2%5C%5C%20A%3D60%20%5Cend%7Bcases%7D%5Cimplies%2060%3D%28a%2B5%29%28a-2%29%20%5C%5C%5C%5C%5C%5C%2060%3D%5Cstackrel%7BF~O~I~L%7D%7Ba%5E2%2B3a-10%7D%5Cimplies%200%3Da%5E2%2B3a-70%20%5C%5C%5C%5C%5C%5C%200%3D%28a%2B10%29%28a-7%29%5Cimplies%20a%3D%20%5Cbegin%7Bcases%7D%20-10%5C%5C%5C%5C%207%20~~%20%5Ctextit%7B%5CLARGE%20%5Ccheckmark%7D%20%5Cend%7Bcases%7D)
notice, we didn't use the negative value, valid though as it is, because in this case "a" can't be negative.