Answer: The second choice is answer.
Step-by-step explanation:
The first line (Blue One)
[tex]y=-x-3[/tex] (Slope is -1 and intercepts y at -3)
The second one (Red One)
[tex]y=2x-8[/tex] (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
Or solve the equations.
[tex]y=-x-3\\y=2x-8[/tex]
Substitute y=2x-8 in y=-x-3
[tex]2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})[/tex]
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.)
[tex]y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )[/tex]
So the answer is the second choice.
