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Simora [160]
3 years ago
14

Write in slope-intercept form the equation of the line that contains the points (-3,7) and (2, -3). * Your answer​

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

y=-2x+1

Step-by-step explanation:

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Find an
Vitek1552 [10]

Answer:

y=-2x-4

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

\displaystyle x_m=\frac{-3+5}{2}=1

\displaystyle y_m=\frac{-8-4}{2}=-6

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}

\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

y-y_o=m(x-x_o)

y-(-6)=-2(x-1)

Operating

y+6=-2(x-1)

y+6=-2x+2

Rearranging

\boxed{y=-2x-4}

8 0
4 years ago
Simplify 3x+(4x-3) <br><br> Pls :)
OLga [1]

Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

3x + 4x - 3

Combine like terms

3x + 4x = 7x

7x - 3

5 0
3 years ago
Read 2 more answers
A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the su
ladessa [460]

Answer: 158cm^2

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

SA = 2(wl +lh + hw)

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2

4 0
4 years ago
Read 2 more answers
What is the Integer for loss of 30 yards in football?
Wittaler [7]

Answer:

-30 i guess

Step-by-step explanation:

5 0
3 years ago
If you take pen off lessons apps 4:15 p.m. and it ends at 5:50 p.m. how long does he practiss
nekit [7.7K]
Hi there!

To solve this problem, we need to subtract 5:50 from 4:15 pm.

5:50 - 4:15
= 6:00 - 4:15 - 0:10
= 6:00 - 4:00 - 0:10 - 0:15
= 1 hr 35 min

So, your answer would be 1 hr 35 min. 

Hope this helps!
6 0
3 years ago
Read 2 more answers
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