Distance Formula

Find the distance.

(a)  

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Tags

CCSS.8.G.B.7

Find the distance between (-12, 1) and (12, -1).

(a)  

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Tags

CCSS.HSG.GPE.B.7

A(3,1) B(-2,-1) written correctly is:

• $\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

• $\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

Tags

CCSS.HSG.GPE.B.7

What is the slope of the following graph?

• $m\ =-\frac{1}{4}$

• $m\ =\ 4$

• $m\ =\ -4$

• $m\ =\ -\frac{1}{3}$

Tags

CCSS.HSS.ID.C.7

What is the distance between AB

(a)  

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Tags

CCSS.HSG.GPE.B.7

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

• $y=2x\ -3$

• $y=2x-5$

• $y=2x\ +\ 1$

• $y=-\frac{1}{2}x+\frac{5}{2}$

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PARALLEL to that passes through the point (3, 1).  $y=-\frac{5}{2}x+10$  

•  $y=-\frac{5}{2}x\ +\ 6$  

•  $y\ =-\frac{5}{2}x+\frac{17}{2}$  

•  $y=\frac{2}{5}x+6$  

•  $y=\frac{2}{5}x+\ 8$  

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.CO.A.1