Answer: The second choice is answer.
Step-by-step explanation:
<h3>The first line (Blue One)</h3>
(Slope is -1 and intercepts y at -3)
<h3>The second one (Red One)</h3>
(Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)
Because there are choices, it's easy to notice.
The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)
The second one, x = 1 and almost 2 is right.
The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)
The fourth one, just like the first one... x = 4 almost 5
<h3>Or solve the equations.</h3>
![y=-x-3\\y=2x-8](https://tex.z-dn.net/?f=y%3D-x-3%5C%5Cy%3D2x-8)
Substitute y=2x-8 in y=-x-3
![2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})](https://tex.z-dn.net/?f=2x-8%3D-x-3%5C%5C2x-8%2Bx%2B3%3D0%5C%5C3x-5%3D0%5C%5C3x%3D5%5C%5Cx%3D%5Cfrac%7B5%7D%7B3%7D%5C%5C%28x%3D1%5Cfrac%7B2%7D%7B3%7D%29)
Look at the value of x then find the answer that matches the value of x.
Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)
![y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20-3%5C%5Cy%3D-%5Cfrac%7B5%7D%7B3%7D%20-%5Cfrac%7B9%7D%7B3%7D%20%5C%5Cy%3D-%5Cfrac%7B14%7D%7B3%7D%20%5C%5C%28y%3D-4%5Cfrac%7B2%7D%7B3%7D%20%29)
So the answer is the second choice.