Combination of Material

Question 1

What is the actual distance formula?

Answer 1

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Question 2

Radicals in Simplest Form

Explain the rules or conditions for radicals resulting from the distance formula

Answer 2

1. No perfect square factor other than 1 is under the radical
2. No fraction under the radical sign
3. No fraction has a radical as the denominator

Question 3

What is the theorem for the midpoint theorem?

What is the midpoint theorem?

Answer 3

The midpoints of the segment that joins the points ( x₁ , y₁ ) and ( x₂ , y₂ ) is the point; that results from the midpoint theorem.

Question 4

What is the definition of an x - intercept and a y - intercept?

Answer 4

x - intercept: if ( a, 0 ) is the point where the line crosses the x - axsis, then a is the x - intercept

Plug in y = 0 to get the x - intercept

y - intercept: if ( 0, b ) is the point where the line crosses the y - axsis, then b is the y - intercept

Plug in x = 0 to get the y - intercept

Question 5

How do you find the intersection point of two lines?

Answer 5

Set the two equations on top of each other and multiply to subtract from the top equation. Solve for y or x and then plug it back in to get the other one.

Take the x and y values to get the point ( x, y )

Plug the x and y values back in to check the equation to get equal terms on both sides.