Block Three Flashcards
What does the gradient describe
how steep a line is
what is the formula of a gradient
gradient = vertical distance / Horizontal distance
What gradient do horizontal lines have
Have a gradient of zero
what gradients do downwards slopes have
a negitive gradient
what gradient do vertical lines have
undefined gradient
what is the formula to find the gradient between any two coordinate points
m= y2 - y1 / x2 - x1
how to find gradient between two points you
- label them y1 and x1 and y2 and x2
- substitute into formula
- answer as simplified fraction / whole number
describe the gradient of parallel lines
parallel lines always have the same gradient
to prove two lines are parallel show that their gradients are equal
How to simplify algebraic fractions
you can cancel common factors of the numerator and denominator just like with numeric fractions
how to simplify algebraic fractions by factorising
only factors of both numerator and denominator of the fraction can be cancelled
you must fully factorise both parts of the fraction before you simplify
How to multiply algebraic fractions
you can multiply two or more algebraic fractions the same way as numeric fractions
it is usally easier to simplify diagonally before you multiply
How to divide algebraic fractions
- invert the second fraction
- simplify where possible
- multiply as normal
how to add and subtract algebraic fractions
- you must have the same denominator
- you may need to multiply one or both fractions to give them a common denominator
- then you can add or subtract
when adding and subtracting alg fractions how can you find the L.C.M
by multiply the two denominators
this usally happens when one or both denominators can be written as a bracket
