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

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


# 1

Finding the Midpoint:


First add the x-coordinates together to get


Divide that result by 2


So the x-coordinate of the midpoint is


Now add the y-coordinates together to get


Divide that result by 2


So the y-coordinate of the midpoint is


So the midpoint between the points and is






# 2




x-intercept


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


Start with the given equation.


Plug in .


Multiply and 0 to get 0.


Simplify.


Add to both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


So the x-intercept is .


------------------------------------------


y-intercept


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


Start with the given equation.


Plug in .


Multiply and 0 to get 0.


Simplify.


Divide both sides by to isolate .


Reduce.


So the y-intercept is .






# 3


Start with the given inequality.


Divide both sides by 2


Divide.


Subtract from both sides.


Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the answer is

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