Question

Ralph plotted the points (-4, 3) and (-4, -3) on a coordinate grid. What is the distance, in units, between the points Ralph plotted?

Enter your numerical answer in the box, do not include words or spaces.

Answer 1

DISTANCE

❖ Ralph plotted the points (-4, 3) and (-4, -3) on a coordinate grid. What is the distance, in units, between the points Ralph plotted? (Enter your numerical answer in the box, do not include words or spaces.)

Answer:

• 
  `\color{hotpink} \bold{6 \: units}`

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Formula:

- To get the distance between two points, we may use formula

• 
  `\underline{ \boxed{d = \sqrt{( x_(2) - x_(1)) {}^(2) + (y_(2) - y_(1)) {}^(2) } }}`

Given:

Since Ralph plotted the points (-4, 3) and (-4, -3) on a coordinate grid then, the givens are...

• 
  `\: \: \: \: \: \: \: x_(1) = - 4 \: \: \: \: \:\: \: \: \: \: \: \: \: y_(1) = 3\\ \: \: \: \: \: \: \: \: \: \: \: x_(2) = - 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: y_(2) = - 3`

Solution:

• 
  `d = \sqrt{( x_2- x_(1)) {}^(2) + (y_(2) - y_(1)) {}^(2) }`

• 
  `d = √([-4-(-4)]²+(-3-3)²)`

• 
  `d = √((0)²+(-6)²)`

• 
  `d = √(0+36)`

• 
  `d = √(36)`

• 
  `d = \blue{6}`

Therefore, the distance between two given points is 6.

Answer 2

6 units

Explanation:

Given the following question:

Point A = (-4, 3) = (x, y)
Point B = (-4, -3) = (x, y)

To find the distance between the following points we must first plot the points on the coordinate plane.

Point A: Move over to the left four times, move up three times.
Point B: Move over to the left four times, move down three times.

The distance between the two points given is "six units." Since the x values are the same, and the y values are opposites from each other doubling their distance by two.

Hope this helps.