Graphs

Question 1

How do you find the midpoint of a line on a graph?

Answer 1

Add the X co-ordinates together and halve

Add the Y co-ordinates together and halve

Question 2

Is it okay to leave co-ordinates as a fraction?

Answer 2

Yes

Question 3

Equations of graphs: line from bottom left of graph to top right

Answer 3

Y = X

Question 4

Equations of graphs: line from top left of graph to bottom right

Answer 4

Y = -X

Question 5

Equations of graphs: parabola

Answer 5

Y = X

Question 6

Equations of graphs: line from middle top right section curved upwards to the right

Answer 6

Y = square root of X

Question 7

Equations of graphs: y axis

Answer 7

X = 0

Question 8

Equations of graphs: X axis

Answer 8

Y = 0

Question 9

Equations of graphs: horizontal line across the graph ———

Answer 9

Y = 4

Question 10

Equations of graphs: vertical line across the graph |

Answer 10

X = 4

Question 11

What is gradient?

Answer 11

Gradient is a gem used to describe the steepness of a line

Question 12

How do we work out the gradient?

Answer 12

Gradient = Change in y / change in X

Question 13

In the equation y = m x + c, what does the letter y stand for?

Answer 13

The y co-ordinate

Question 14

In the equation y = m x + c, what does the letter m stand for?

Answer 14

The gradient of the line

Question 15

In the equation y = m x + c, what does the letter x stand for?

Answer 15

The X-co ordinate

Question 16

In the equation y = m x + c, what does the letter c stand for?

Answer 16

The intercept, where it crosses the y axis

Question 17

If there is no gradient in a graph, what is the gradient?

Answer 17

0

Question 18

Your coordinates (6,5) and (4,4) work out the gradient

Answer 18

(6,5) = (x2 y2)
(4,4) = (x1 y1)

Gradient = 5-4 / 6-4 = 1/2 = 0.5

Question 19

What is the equation to work out the gradient using coordinates?

Answer 19

Y2 - y1 / x2 - x1

Question 20

Find the equation of the line which has a gradient of 4 and goes through (2,7)

Answer 20

Y = mx + c
Y = 4x + c
7 = (2x4) + c
7 = 8 + c
C = -1

Answer: Y = 4x - 1

Question 21

In y = m x + c, what happens on a graph if you change the value of m?

Answer 21

The steepness of the Line will change

Question 22

In y = m x + c, what happens on a graph if you increase the value of m

Answer 22

The line becomes steeper

Question 23

In y = m x + c, what happens on a graph if you decrease the value of m

Answer 23

The line becomes less steep

Question 24

In y = m x + c, what happens on a graph if the value of m is negative?

Answer 24

The gradient will be negative

Question 25

In y = m x + c, what happens on a graph if you change the value of c

Answer 25

The line will move up or down the y-axis

Question 26

In y = m x + c, what happens on a graph if the X term is x^2

Answer 26

The shape of the graph will be a parabola

Question 27

In y = m x + c, what happens on a graph if the xterm is x^3

Answer 27

The shape of the graph will be the stretch s shape/lightning bolt