Gradient
Identify the rise and run of this Gradient
y=2x+4
m= Rise 2 / Run 1
Is the y-intercept positive or negative?
y=2x -19
Negative
c=-19
Form an equation with a gradient of 5 and a y-intercept of -8
y=5x-8
A fishing trip costs $20 for the boat hire plus $8 for each person going fishing.
The total cost is $84.
How many people went fishing?
8x+20=84
8 people went fishing
Form a linear Equation...
A rugby club charges a $15 registration fee plus $8 for every training session you attend.
y=8x+15
Identify the Gradient
y=2/3x-1
m=2/3
Identify the y-Intercept
y=3/4x+2
c=+2
Write an equation for the straight line with a y-intercept of -1 and a gradient of 3/2
y=3/2x-1
Does the following linear equation show a positive or negative gradient?
y=-3x+9
Negative
m=-3
Form a linear equation...
A gaming store charges a $10 delivery fee plus $25 for each game you buy.
y=25x+10
Identify the Gradient to the simplest form
y=6/3x+4
m=2/1
Identify the y-Intercept for the line y=2x
c=0
the origin
Write an equation for the straight line that has a gradient of 2 and passes through the origin
y=2x
Is the y-intercept of the following linear equation above or below the origin?
y=-3x+2
Above
y-intercept = +2
Form and Solve
A go-kart starts the race with a $10 debt on its account. During the race, the team earns $3 for every lap completed.
If the team complete 8 laps, how much $ did they finish with?
y=3x-10
y=3(8)-10
y=$14
Identify the rise and run- use whole numbers
y=0.2x+4
m=1 rise /5 run
Identify the y-Intercept for the line with a gradient of m=1 and goes through (1,1)
c=0
the origin
What would the equation be for a straight line that goes down 2 and across 1 and passes through the y intercept at -4
y=-2x-4
Which linear equations pass through the origin?
a) y=3/4x -0
b) y=2x
c) y=4x -2
a and b
Form a linear equation...
You have 20 GB of data on your phone plan. Each day, you use 2 GB of data.
y=-2x+20
Identify the Gradient
y=-0.5x-14
m=-0.5 NEGATIVE
Identify the y-Intercept where the line travels through (2,3) and has a gradient of m=2
y-intercept= -1
(Equation y=2x-1)
Write an equation for the straight line that passes through (0,1) and (5,2)
y=5x+1
Form a linear equation with a y-intercept of -9 and a gradient of 3/4
y=3/4x-9
or
y=0.75x-9
A hunter has $45 to spend on supplies. He spends $7 on each box of ammunition.
After buying some boxes, he has $3 left.
Question:
How many boxes of ammunition did he buy?
7x+3=45
He bought 6 boxes