Answer:
Step-by-step explanation:
First, find the <em>rate of change</em> of the line:
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Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:
![\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%203%20%3D%20-3%5B2%5D%20%2B%20b%20%5Chookrightarrow%203%20%3D%20-6%20%2B%20b%3B%209%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5Cboxed%7By%20%3D%20-3x%20%2B%209%7D%7D%20%5C%5C%20%5C%5C%20OR%20%5C%5C%20%5C%5C%206%20%3D%20-3%5B1%5D%20%2B%20b%20%5Chookrightarrow%206%20%3D%20-3%20%2B%20b%3B%209%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5Cboxed%7By%20%3D%20-3x%20%2B%209%7D%7D)
I am joyous to assist you at any time.
The answer to your question is ½
Solve the following system using elimination:
{x - 2 y = -23 | (equation 1)
{x - y = 7 | (equation 2)
Subtract equation 1 from equation 2:
{x - 2 y = -23 | (equation 1)
{0 x+y = 30 | (equation 2)
Add 2 × (equation 2) to equation 1:
{x+0 y = 37 | (equation 1)
{0 x+y = 30 | (equation 2)
Collect results:
Answer: {x = 37 , y = 30
