SOLUTION: 1. Use the midpoint formula to find the midpoint of a line segment with endpoints: (2, 7) and (-4, 1) 2. Algebraically find the x and y intercepts of the equation 3x - 5y = 10

Algebra ->  Equations -> SOLUTION: 1. Use the midpoint formula to find the midpoint of a line segment with endpoints: (2, 7) and (-4, 1) 2. Algebraically find the x and y intercepts of the equation 3x - 5y = 10      Log On


   

Question 169082: 1. Use the midpoint formula to find the midpoint of a line segment with endpoints: (2, 7) and (-4, 1)
2. Algebraically find the x and y intercepts of the equation 3x - 5y = 10 and write each as an ordered pair.
3. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
2(x + 3) > 20
4. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
11x + 3 – 13x – 7 < 2(5 + 4x)
5. Fill in the chart given this linear equation:
2x + y = 42.
Type all your work below the chart.
x y
-2
-1
0
1
2

6. The linear equation x = -1 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below). Describe how you determined your answer.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first three to get you started.


# 1

Finding the Midpoint:


2%2B-4=-2 First add the x-coordinates together to get -2


%28-2%29%2F2=-1 Divide that result by 2


So the x-coordinate of the midpoint is x=-1


7%2B1=8 Now add the y-coordinates together to get 8


%288%29%2F2=4 Divide that result by 2


So the y-coordinate of the midpoint is y=4


So the midpoint between the points and is





# 2




x-intercept


To find the x-intercept, plug in y=0 and solve for x


3x+-+5y+=+10 Start with the given equation.


3x+-+5%280%29+=+10 Plug in y=0.


3x+-+0+=+10 Multiply 5 and 0 to get 0.


3x+-+0+=+10 Simplify.


3x=10%2B0 Add 0 to both sides.


3x=10 Combine like terms on the right side.


x=%2810%29%2F%283%29 Divide both sides by 3 to isolate x.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


3x+-+5y+=+10 Start with the given equation.


3%280%29+-+5y+=+10 Plug in x=0.


0+-+5y+=+10 Multiply 3 and 0 to get 0.


+-+5y+=+10 Simplify.


y=%2810%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=-2 Reduce.


So the y-intercept is .





# 3


2%28x%2B3%29%3E20 Start with the given inequality.


x%2B3%3E20%2F2 Divide both sides by 2


x%2B3%3E10 Divide.


x%3E10-3 Subtract 3 from both sides.


x%3E7 Combine like terms on the right side.


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Answer:

So the answer is x%3E7