Straight Line Graphs Flashcards
How do you calculate the gradient of a line
y2 - y1 / x2 - x1
What are the two forms that an equation of a straight line can written in
y = mx + c where m is the gradient and (0,c) is the y-intercept
ax + by + c = 0 where a, b and c are integers
How can you write the equation of a line with gradient m that passes through the point (x1, y1)
y - y1 = m(x - x1)
What should the gradient be if the two lines are parallel to each other
The lines would both have the same gradien
What should the gradient be if the two lines are perpendicular to each other
The two gradients should multiply to equal -1
What is the formula used to find the distance between (x1, y1) and (x2, y2)
d = the square root of (x2 - x1)^2 + (y2 - y1)^2
How can you find the point of intersection of two lines
Using simultaneous equations
How do you know two quantities are in direct proportion and what would the graph look like
Two quantities are in direct proportion when they increase at the same rate
The graph of these two quantities is a straight line through the origin
What is a mathematical model
A mathematical model is an attempt to represent a real-life situation using mathematical concepts.
It is often necessary to make assumptions about real-life problems in order to create a model
