Why is he wrong? What is the correct answer?
1 answer:
Answer:
Step-by-step explanation:
He had the incorrect slope for the second line, his line has a positive slope of one while the equation has a slope of negative 1.
x+y=1
y=-x+1
He graphed x+1 instead of -x+1
If he graphed them correctly the lines would intersect when the equations were equal
2x+4=-x+1
3x+4=1
3x=-3
x=-1, making y=2x+4 become
y=2(-1)+4
y=2
So the solution was supposed to be the point (-1,2)
You might be interested in
Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:
![y-4=-\frac{5}{2}(x+3)](https://tex.z-dn.net/?f=y-4%3D-%5Cfrac%7B5%7D%7B2%7D%28x%2B3%29)
Rewriting this in standard form,
![2y-8=-5(x+3) \\ \\ 2y-8=-5x-15 \\ \\ \boxed{5x+2y=-7}](https://tex.z-dn.net/?f=2y-8%3D-5%28x%2B3%29%20%5C%5C%20%5C%5C%202y-8%3D-5x-15%20%5C%5C%20%5C%5C%20%5Cboxed%7B5x%2B2y%3D-7%7D)
n+29 is that what you mean
The average score for the entire year is 88.44444, so by rounding down the answer is 88%
Answer
![\boxed {d= \frac{19}{3}}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bd%3D%20%5Cfrac%7B19%7D%7B3%7D%7D)
Solution
Simplify both sides of the equation.
![\frac{7}{3} + \frac{-7}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20%2B%20%5Cfrac%7B-7%7D%7B3%7D%20%20)
We are left with d = 4+![\frac{7}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20%20)
Add
![\frac{12}{3}+\frac{7}{3} =\frac{19}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B3%7D%2B%5Cfrac%7B7%7D%7B3%7D%20%3D%5Cfrac%7B19%7D%7B3%7D%20%20)
Hence, d = ![\frac{19}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%7D%7B3%7D%20%20)