Coordinate geometry

Question 1

What are the two different formula’s for a straight line?

Answer 1

1. The Y-intercept formula y=mx + b
2. General formula ax +by + c =0

Question 2

what does the m and the b stand for in y=mx + b?

Answer 2

m = gradient

b= y intercept

(b is where the line crosses the y xis)

Question 3

what are three ways of finding the gradient of a line?

Answer 3

1. writing in the form of y=mx + b (m =gradient)
2. using the two point formula
3. m= rise/run

Question 4

What is the midpoint formula?

Answer 4

Question 5

what is the distance formula?

Answer 5

Question 6

what is the relationship of gradients for

1. parrallel lines
2. perpendicular lines

Answer 6

1. they are equal m₁ =m₂

_2. m_{1 =} -1/m₂

Question 7

How do you plot the line of a graph that is in genral form.

ie graph 4y + 2x =12

Answer 7

1. rearrange into y-intercept form.

y = -2x/4 +3

b= 3

m= -1/2