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Straight line graphs
Mahobe
Draw the graphs of the lines
• Starts at -3 and slopes 1 in y to 2 in x
Draw the graph of the line
• Starts at ½• Slope: 3 in ‘y’ to 2 in ‘x’
Draw the graph of the line
Find the points where x = 0 and where y = 0
Parts of the Red Devils and Easy Riders cycle ramps can be viewed from the end of a spectator stand at a dirt cycle track. The graph below shows the height above ground
level of the two ramps.
What is the height of the Easy Riders ramp at the end of the spectator stand?
1.5 metres
What is the increase in height of the Red Devils ramp over the 10 metres from the end of the spectator stand?
2.5 metres
Draw the graph and give the equation of the following:
Starts at -5 and increases by ‘3’
Starts at -5 and increases by ‘3’
Starts at 1 and slope is -4
Write down the coordinates of A and B
coordinates of A(-1, 1) and B(3,3)
Write down the x and y intercepts.
x intercepts is(-3,0) and y intercepts is(0, 1.5).
Write the equation of the line
The equation of the line is
Which two lines are parallel?
A and C because they have the same gradient.
A and C because they have the same gradient.
Which two lines have negative gradients?
B and D
Which two lines go through the point (5, 13)?
A and D
Draw the following lines.
Draw the graphs of the following equations.
The graph shows the net worth of 3 famous siblings who are all famous singers.
Who initially had the most successful career?
Michael
At what annual rate is Britney’s and Paris’ net worth changing?
Britney’s $15,625,000 and Paris’ $9,375,000
Michael seems to be losing his net worth. When do you estimate that he will be worth less than a $1million?
Michael
Britney runs from her house to the shopping mall. Paris walks from her house to the shopping mall. The distances and times are
shown on the graph below
Which line represents Britney? Explain your answer.
The steeper line because we presume she runs faster than Paris can walk.
Both Britney and Paris left their homes at 1:30pm to go to the mall. At what time would they be at the same distance from the
mall?
4 minutes later at 1:34pm
Formula:
Formula:
0.5 1 2 3 4 555 80 130 180 230 280
Draw both graphs.
Compare the two lines and comment.
Both recipes give the same cooking time for a roast that is 3 kg.
The recipe book recommends longer times for roasts under 3 kg.
The mother’s recipe is likely to undercook a roast if it has a low weight. .
Brad and Angie are travelling overseas. There are three international phone card they can buy.
• 1 More Talk• 2 Talk on• 3 Stay in touch
The graph below shows the call costs for More Talk and Talk On cards
The Stay in Touch card costs 4 cents per minute plus a $1 call connection fee. The cost per call using the Stay in Touch card can
be described by the equation
Draw the graph for the Stay in Touch card from 0 to 30 minutes.
Draw the graph for the Stay in Touch card from 0 to 30 minutes.
Which one of these three cards has the highest connection fee per call?
Stay in Touch
How is this shown by the graphs?
The highest intersection point on the cost axis.
How long is a call that costs the same using the More Talk card and the Talk On card?. How is this shown by the graphs?
20 minutes. The intersection point of the two lines.
Use the graph to write the equation of the More Talk card.
Use the graph to write the equation of the Talk On card.
Terrance investigates the cost of hiring exercise equipment for his home. He phones 2 companies – ‘Work It Out’ and ‘Fitness Concepts’. The graph
shows the cost of hiring the same equipment for up to 50 days.
What are the main features of each company’s charges?
Fitness Concepts has a fixed charge of $100 and a rate of 40 cents a day.
Work it Out has no fixed charge but charges at a rate of $3 a day.
Up to 38 days, it is cheaper to hire from Work it Out. From 39 days, it is cheaper to hire from Fitness Concepts.
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