Exploring Distance and Midpoint Formulas in Algebra

What will you be able to do by the end of this lesson?

• Determine the slope of a line

• Calculate the volume of a cube

• Find the distance between two points

• Find the area of a triangle

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the distance formula based on?

• The slope-intercept form

• The volume of a sphere

• The Pythagorean theorem

• The area of a circle

Tags

CCSS.HSG.GPE.B.7

What is the first step in using the distance formula?

• Square the x-coordinates

• Label the points as x1, y1, x2, and y2

• Divide by 2

• Add the y-coordinates

Tags

CCSS.HSG.GPE.B.7

What is the distance between the points (-5, -8) and (-7, -2)?

• Square root of 50

• Square root of 30

• Square root of 40

• Square root of 20

Tags

CCSS.HSG.GPE.B.7

What is the simplified form of the square root of 40?

• 2 square roots of 5

• 4 square roots of 10

• 2 square roots of 10

• 4 square roots of 5

If the distance between (2, a) and (-6, 2) is 10 units, what are the possible values of a?

• 7 and -7

• 6 and -6

• 8 and -8

• 4 and -4

Tags

CCSS.HSG.GPE.B.7

What is the midpoint formula used for?

• Finding the point exactly in the middle of two points

• Finding the slope of a line

• Finding the distance between two points

• Finding the area of a triangle

Tags

CCSS.HSG.GPE.B.6

How do you find the x-coordinate of the midpoint?

• Divide the x-values by 2

• Subtract the x-values and divide by 2

• Multiply the x-values and divide by 2

• Add the x-values and divide by 2

Tags

CCSS.HSG.GPE.B.6

What is the midpoint between (-1, 2) and (3, -4)?

• (1, -1)

• (2, -2)

• (1, -3)

• (0, -1)

Tags

CCSS.HSG.GPE.B.6

What is the y-coordinate of the midpoint between (-1, 2) and (3, -4)?

• -4

• -2

• -3

• -1

Tags

CCSS.HSG.GPE.B.6