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adell [148]
3 years ago
8

Find the distance between the points (-8,-11) and (14,-11).​

Mathematics
2 answers:
coldgirl [10]3 years ago
6 0

Answer:

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Step-by-step explanation:

The answer is provided above.

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Hope this helps.

sdas [7]3 years ago
6 0

Answer:

Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (-11,-8) and p2 (-11,-14)

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-11--11)2+(-14--8)2

d = √ ((0)2+(-6)2)

d = √ (0+36)

d = √ 36

The distance between the points is 6

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-11+-11)/2=-11

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(-8+-14)/2=-11

The midpoint is: (-11,-11)

Graphing the two points, midpoint and distance

P1 (-11,-8)

P2 (-11,-14)

Midpoint (-11,-11)

The length of the black line is the distance between the points (6)

Find the slope of the line connecting the two points

Slope =  (Y2-Y1)  =  (-14--8)  =  (-6)  = -Infinity

(X2-X1) (-11--11) (0)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be -Infinity

y = -Infinityx + b

We substitute x and y for the values from one of our points (-11,-8)

-8 = -Infinity×-11 + b

-8 = Infinity + b

-8-Infinity = b

-Infinity = b

Knowing both b and m, we can contruct the equation of the line

y= -Infinityx-Infinity

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= -Infinityx-Infinity

0= -Infinityx-Infinity

Infinityx= -Infinity

x= -Infinity/Infinity = NaN

The x intercept for this straight line is NaN

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= -Infinity×0-Infinity

y= -Infinity

The y intercept for this straight line is NaN

References

reference image showing the distance between two points on the xy plane

Processing ends successfully

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