Coordinate Geometry

Question 1

What is the formula for midpoint?

Answer 1

(x1+x2/2 , y1+y2/2)

Question 2

What is the formula for distance?

Answer 2

d = SQUARE ROOT OF (x2-x1)^2 + (y2-y1)^2

Question 3

What is the formula for gradient?

Answer 3

y2-y1/x2-x1 or y1-y2/x1-x2 = rise/run

Question 4

What is the point-gradient formula?

Answer 4

y-y1=m(x-x1), where m is gradient, x and y are coordinates of a point

Question 5

What do the gradients multiply to when two lines are perpendicular?

Answer 5

-1

Question 6

If there is a greater than or equal sign, is my inequality line broken or full?

Answer 6

Full

Question 7

If there is a greater than sign, is my inequality line broken or full?

Answer 7

Broken

Question 8

What is the formula for perpendicular distance?

Answer 8

p= |Ax1 + By1 + C| / SQUARE ROOT OF (A^2 + B^2)

where a, b, and c are values of an equation in general form Ax + By + C

Question 9

What is the general form? What rules are there?

Answer 9

ax + by + c = 0

Where a >0
a, b, c are whole numbers

Question 10

Are gradients equal, when lines are parallel?

Answer 10

Yes