G8. C11.2 Plotting graphs

Chapter 11

11.2 Plotting graphs

​Objective of the lesson

​In this section you will …

• construct a table of values for a function

• use the table to plot a graph.

Explanation of the lesson

Try it yourself!

Try it yourself!

c. Where does the graph cross

• the y-axis?

• the x-axis?

Problem Solving

Problem Solving

Problem Solving

The straight lines given by equations y = –3x + 10 and y = 2x + 5 intersect. What are the coordinates of the point of intersection?

Draw

Complete this working out to plot the point where x = 1 for the graph of y = x + 1.

Draw

If $$y=10-x$$ , which number is missing from this table?

Multiple Choice

Which graph did he plot using these ordered pairs?

Draw

What value is missing from the table of values for the graph of
$$y=3x+4$$ ?

Draw

What value is missing from the table of values for the graph of
$$y=-2x+5$$ ?

Draw

What value is missing from the table of values for the graph of
$$y=6-4x$$ ?

Multiple Choice

The line $$y=6x-7$$ goes through the point $$(k,2)$$ What is the value of k?

• 0.5

• 1

• 1.5

• 2.5

Multiple Choice

The line $$y=7-3x$$ goes through the point $$(6,a)$$ . What is the value of $$a$$ ?

• -15

• 15

• 11

• -11

Draw

What is the equation of the straight line given by this table of coordinates?

Multiple Choice

Elsie drew up this table of values for an equation.

The equation which fits this table of values is:

• y = 2x – 1

• y = 1 – 2x

• y = x – 1

• y = 1 – x

Multiple Choice

Andrew and Sven completed these tables in order to graph the equation y = 3 – x.

Which statement is true?

• Andrew's table gives the correct graph.

• Sven's table gives the correct graph

• Neither Andrew or Sven are correct.

• Both tables give the correct graph.

​Objective of the lesson

​In this section you will …

• learn to interpret the values of m and c for a function of the form y = m x + c

​11.3 Gradient and intercept

​Main Course

​thus, 6 is the gradient of this graph

Fill in the Blanks

Fill in the Blanks

Draw

Enter numbers to complete this table of values for $$y=−x+11.$$

Multiple Choice

Which of these lines has the same y-intercept as y = 7x + 2?

• y = 3x + 2

• y = 5 − 3x

• y = 3 + 3x

• y = 6x + 3

Try it yourself

• Use the table to draw, on the same axes, graphs all the functions.

• Find the gradient and the y-intercept of each line.

• Make a conjecture about what those graphs looks like.

Multiple Choice

True or false?

Parallel lines have the same gradient.

• True

• False

• No Idea

Multiple Select

Which of these lines are parallel to y = x?

• y = x + 2

• y = 5 − x

• y = 3 + 3x

• y = x − 3