Answer:
No mistake
Step-by-step explanation:
2x + y = 5
x - 2y = 10
y = 5 - 2x
x - 2(5 - 2x) = 10
x - 10 + 4x = 10
5x - 10 = 10
5x = 20
x = 4
2(4) + y = 5
y = -3
She made no mistake
You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.
20 is the answer to this problem
Answer:
y=1/2x+1
Step-by-step explanation:
First use slope formula.

Plug in the information needed.

The slope is
.
Now, use point-slope formula.
y-y1=m(x-x1)
Plug in the information needed.
y-3=1/2(x-4)
y-3=1/2x-2
y=1/2x+1
The equation of the line in slope-intercept form is y=1/2x+1.
Hope this helps!
If not, I am sorry.
No the vertex should be at (-3,-2) (I checked on my calculator)
1. It's in point-slope form right now
y - 7 = -x - 4
x + y = 3
2. Find the slope through (y2-y1) / (x2-x1)
The slope is 3.
Use the point slope formula: y - 9 = 3 (x - 8)
y - 9 = 3x - 24
y = 3x - 15
3. a. standard form
b. point-slope
c. slope-intercept
d. standard
5. Use point-slope: y - 8 = 6 (x - 3)
y - 8 = 6x - 18
-6x + y = -10