Graphs Flashcards
How do you find the midpoint of a line on a graph?
Add the X co-ordinates together and halve
Add the Y co-ordinates together and halve
Is it okay to leave co-ordinates as a fraction?
Yes
Equations of graphs: line from bottom left of graph to top right
Y = X
Equations of graphs: line from top left of graph to bottom right
Y = -X
Equations of graphs: parabola
Y = X
Equations of graphs: line from middle top right section curved upwards to the right
Y = square root of X
Equations of graphs: y axis
X = 0
Equations of graphs: X axis
Y = 0
Equations of graphs: horizontal line across the graph ———
Y = 4
Equations of graphs: vertical line across the graph |
X = 4
What is gradient?
Gradient is a gem used to describe the steepness of a line
How do we work out the gradient?
Gradient = Change in y / change in X
In the equation y = m x + c, what does the letter y stand for?
The y co-ordinate
In the equation y = m x + c, what does the letter m stand for?
The gradient of the line
In the equation y = m x + c, what does the letter x stand for?
The X-co ordinate
In the equation y = m x + c, what does the letter c stand for?
The intercept, where it crosses the y axis
If there is no gradient in a graph, what is the gradient?
0
Your coordinates (6,5) and (4,4) work out the gradient
(6,5) = (x2 y2) (4,4) = (x1 y1)
Gradient = 5-4 / 6-4 = 1/2 = 0.5
What is the equation to work out the gradient using coordinates?
Y2 - y1 / x2 - x1
Find the equation of the line which has a gradient of 4 and goes through (2,7)
Y = mx + c Y = 4x + c 7 = (2x4) + c 7 = 8 + c C = -1
Answer: Y = 4x - 1
In y = m x + c, what happens on a graph if you change the value of m?
The steepness of the Line will change
In y = m x + c, what happens on a graph if you increase the value of m
The line becomes steeper
In y = m x + c, what happens on a graph if you decrease the value of m
The line becomes less steep
In y = m x + c, what happens on a graph if the value of m is negative?
The gradient will be negative
In y = m x + c, what happens on a graph if you change the value of c
The line will move up or down the y-axis
In y = m x + c, what happens on a graph if the X term is x^2
The shape of the graph will be a parabola
In y = m x + c, what happens on a graph if the xterm is x^3
The shape of the graph will be the stretch s shape/lightning bolt
