Linear Relationships B
What is a 'gradient' of a line?
The slope/steepness of a line.
What is a 'y-intercept' of a line?
The point where a line crosses/meets the y-axis.
What is a 'x-intercept' of a line?
The point where a line crosses/meets the x-axis.
What is the value of m in the equation: 3m = -12
-4
What does 'area' mean in geometry?
The space within a 2D shape
What is the equation of a line?
y = mx + b
What does the 'm' and 'b' represent in the equation of a line?
y=mx+b
m => gradient
b => y-intercept
Draw a line that shows whether the line is positive or negative:
y = 2x + 4
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What are the two types of Interest in Financial Maths?
Simple Interest and Compound Interest
Change the subject to M:
M-TH=A
M=A+TH
Check if the point (1,8) is on the line: y=x+7
(1,8) ==> x=1, y=8
(8)=(1)+7
The point is on the line.
Write an equation for a line with a gradient of 3 and a y-intercept at -5.
y=3x-5
Use x=0 to find the y-intercept co-ordinate for the line: y = 2x +9
(0,9)
What does 'Inverse Operations' mean?
To do the opposite operation to solve equations. (e.g. multiply -> divide, add -> subtract, etc.)
What is the official name for the 5 in the equation: 5x=10?
Co-efficient
Give an equation for a line parallel with: y= -5x+3
(Multiple correct answers)
e.g. y= -5x-1
(any y=mx+b equation with m=-5)
m= 1/4
Describe how the lines graphed from these two equations would differ:
Line A: y = -2x +3
Line B: y = -2x -5
What formula must we use to find the volume of a triangular prism?
V = 1/2 x b x h x l
Give an example of two variables that have a correlation, but not a causation.
(e.g. simultaneous rise of shark attacks and ice creams sold)
Find the gradient of the equation of a line:
y +8x -3 =0
m= -3
Find the gradient of the equation of a line:
-2y + 4x - 6 = 0
-2y + 4x = 6
-2y = 6 -4x
y = -3 + 2x
m = 2
(2,0)
Find the amount and the compound interest on $16000 for 3 years at 5% per annum, compounded annually.
The amount is $18522 and the compound interest is $2522.
Solve for x:
5x-2 = 3x-4
5x-3x=2-4
2x=-2
x=-1