Length, Gradient and Midpoint of a Line

What is the formula for finding the distance between two points given their coordinates?

• $\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

• $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

• $\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

• $\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$

Find the distance between

 $\left(1,-4\right)$   and  $\left(-2,3\right)$  .

•  $\sqrt{2}$  

•  $\sqrt{58}$  

•  $\sqrt{23}$  

•  $\sqrt{53}$  

What do you call the measure of the steepness of a line?

• Midpoint

• Radius

• Gradient

• Derivative

Find the gradient between point  $\left(3,7\right)$  and  $\left(-2,5\right)$ . 

•  $\frac{2}{5}$  

•  $\frac{5}{2}$  

•  $-\frac{2}{5}$  

•  $-\frac{5}{2}$  

Find the coordinates of the midpoint of  $\left(6,-3\right)$   and  $\left(4,5\right)$  .

•  $\left(2,-4\right)$  

•  $\left(-4,2\right)$  

•  $\left(1,5\right)$  

•  $\left(5,1\right)$  

What can you say about the gradient of a horizontal line?

• positive

• negative

• zero

• infinite

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

What can you say about two lines having the same gradient?

• They are perpendicular.

• They are intersecting.

• They are parallel.

• They are nothing.

Tags

CCSS.8.EE.B.6

CCSS.8.G.A.1

If two lines are perpendicular then the product of their gradients is equal to....

• $\frac{1}{2}$

• $-\frac{1}{2}$

• $1$

• $-1$

The equation of a line is  $y=3x-4$  , find its gradient.

•  $-4$  

•  $3$  

•  $-3$  

•  $4$  

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the gradient of a line perpendicular to  $y=\frac{1}{2}x+3$  ?

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

•  $2$  

•  $-2$