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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