Answer:
29 av
Step-by-step explanation:
Answer:
11/31 11/12 11/5
Step-by-step explanation:
because 11/5 is a mixed number and the bigger the denominator the smaller the number
-(-7y + 12) = 7y - 12
u are distributing the -sign through the parenthesis...so u take the number outside of the parenthesis (and if it just a sign, the number is 1)...and u multiply it by everything in the parenthesis.
-1(-7y + 12) = -1 * -7y + (-1) * 12 = 7y + (-12) = 7y - 12
4)
If you know the slope
and a point
belonging to a line, then the equation of the line is
![y-y_0=m(x-x_0)](https://tex.z-dn.net/?f=y-y_0%3Dm%28x-x_0%29)
In your case, you have
and
. So, the equation of the line is
![y-5=-\dfrac{1}{2}(x-6) \iff y = -\dfrac{1}{2}x+8](https://tex.z-dn.net/?f=y-5%3D-%5Cdfrac%7B1%7D%7B2%7D%28x-6%29%20%5Ciff%20y%20%3D%20-%5Cdfrac%7B1%7D%7B2%7Dx%2B8)
5)
If you know two points
belonging to a line, then the equation of the line is
![\dfrac{y-y_2}{y_1-y_2}=\dfrac{x-x_2}{x_1-x_2}](https://tex.z-dn.net/?f=%5Cdfrac%7By-y_2%7D%7By_1-y_2%7D%3D%5Cdfrac%7Bx-x_2%7D%7Bx_1-x_2%7D)
In your case, you have
and
. So, the equation of the line is
![\dfrac{y-5}{3-5}=\dfrac{x-2}{-2-2} \iff \dfrac{y-5}{-8}=\dfrac{x-2}{-4} \iff y-5 = 2x-4 \iff y = 2x+1](https://tex.z-dn.net/?f=%5Cdfrac%7By-5%7D%7B3-5%7D%3D%5Cdfrac%7Bx-2%7D%7B-2-2%7D%20%5Ciff%20%5Cdfrac%7By-5%7D%7B-8%7D%3D%5Cdfrac%7Bx-2%7D%7B-4%7D%20%5Ciff%20y-5%20%3D%202x-4%20%5Ciff%20y%20%3D%202x%2B1)