C1 Maths

Question 1

Equation of line if we know gradient and one point

Answer 1

Y-y1 = m(x-x1)

Question 2

Equation of a line if we are told two points

Answer 2

(Y-y1) / (y2-y1) = (X-x1) / (x2-x1)

Question 3

To find length of a line if we have two separate points

Answer 3

Hyp^2 = a^2 + b^2
Therefore …….
Length = root (x2-x1)^2 + (y2-y1)^2

Question 4

To find midpoint of the line if we have two separate points

Answer 4

((X1+x2)/2) , ((y1+y2)/2) =midpoint

Question 5

How to tell if two lines are perpendicular

Answer 5

Their gradients will multiply to -1

m1m2=-1

Question 6

Gradient of a perpendicular bisector line?

Answer 6

-1 / ((y2-y1)/(x2-X1))

And then to find equation we use y= mx + c

Question 7

How to find minimum point from completing the square ?

Answer 7

The number left is y value, the number in the bracket multiplied by -1 is x value

Question 8

Minimum point for (X-5)^2 -21 = 0

Answer 8

(5,-21)

Question 9

When do inequality signs flip?

Answer 9

When you divide the expression by a negative

Question 10

-7x

Answer 10

X>5

Question 11

How to do quadratic inequalities?

Answer 11

Factorise into brackets
Work out whether brackets have to multiply to give pos/neg result
Work out how many brackets have to be pos/neg
Make sure nothing contradicts
Work out solutions