Question

Question 1(Multiple Choice Worth 5 points)

(Distance on the Coordinate Plane MC)

What is the distance from (−7, −24) to (−7, 8)?

−32 units
−16 units
16 units
32 units

Answer 1

32 units

Explanation:

The distance formula allows us to find the distance between 2 coordinate points.

Distance Formula

Firstly, it is important to understand that distance is always a positive value. This already eliminates the first 2 possible answers. The distance formula can be used to find the distance between any 2 points on the same plane. The formula is as follows:

• 
  `d= √((x_2-x_1)^2 + (y_2 -y_1)^2 )`

As you can see, the final step is to take the square root. This shows that the answer could never be negative.

Solving for Distance

Now, to solve for distance, we can just plug in the coordinate pairs. For this equation (-7, 8) will serve as coordinate point 2.

• 
  `d = √((8-(-24))^2+(-7-(-7))^2)`

Then, we can simplify the equation further.

• 
  `d=√(32^2+0)`
• d = 32

The equation shows that the distance is 32. This means that if we drew a line between both points, the line would be 32 units long.