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Elite Medics - Maths
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Created by
Lucharles Eneberi
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Cards (242)
What is the equation for a straight line?
y
=
mx
+
c
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What does 'm' represent in the equation of a line?
'm'
represents the
gradient
of
the
line
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What does 'c' represent in the equation of a line?
'c' represents the
y-intercept
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What is the y-intercept of a line?
The y-intercept is
where
the
line
crosses
the
y-axis
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What is the x-intercept of a line?
The x-intercept is
where
the
line
crosses
the
x-axis
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What is a term in algebra?
A term can be a
number
, a
letter
, or a
combination
of
both
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What is an expression in algebra?
An expression is a
combination
of
terms
using
operations
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What is an equation in algebra?
An equation is when two
expressions
are equal to each other
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How do you identify a horizontal line on a graph?
A horizontal line has a constant
y value
while the
x value
changes
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How do you identify a vertical line on a graph?
A vertical line has a constant
x value
while the
y value
changes
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What is the significance of the coordinates where two lines intersect?
It represents the point where both lines
cross
each other
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What is the formula to find the gradient of a line?
The gradient can be found using two
points
on the line
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What are the characteristics of diagonal lines in algebra?
Both
x and y coordinates
change
They have an equation of the form
y = mx + c
The
slope
of the line is represented by 'm'
The
y-intercept
is represented by 'c'
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What does it mean if a line has a shallow gradient?
A shallow gradient means the
slope
of the line is small
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What does it mean if a line has a steep gradient?
A steep gradient means the
slope
of the line is large
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How do you find the y-
intercept
from the equation y =
mx
+
c?
The y-intercept is the value of 'c' in the equation
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How do you find the gradient from the equation y = mx + c?
The
gradient
is the value of
'm'
in the equation
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What are the steps to solve simultaneous equations?
Write down the equations.
Use
substitution
or
elimination methods
.
Solve for one variable.
Substitute back to find the other variable.
Check the solution in both equations.
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What are the steps to solve inequalities graphically?
Rewrite the inequality in
slope-intercept form
.
Graph the
boundary line
.
Determine which side of the line to shade.
Test a point to confirm the solution region.
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What is the purpose of the slider tool mentioned in the session?
To gather responses and feedback from
participants
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What should participants do if they cannot access the slider tool?
They can put their answers in the
Q&A
chat
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What is the significance of the y-coordinate in a horizontal line?
The y-coordinate remains constant
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What is the significance of the x-coordinate in a vertical line?
The
x-coordinate
remains
constant
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How do you determine the coordinates of the intersection of two lines?
By identifying where the lines cross on the
graph
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What does it mean if a line is described as 'y = 5'?
It means the line is
horizontal
at y = 5
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What does it mean if a line is described as 'x = 6'?
It means the line is
vertical
at x = 6
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What is the relationship between the y-intercept and the x-intercept?
The y-intercept is where the line crosses the
y-axis
, while the x-intercept is where it crosses the
x-axis
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What is the importance of understanding the equation y = mx + c?
It helps in understanding the relationship between x and y in
linear equations
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How can you tell if a line is increasing or decreasing from its equation?
If 'm' is
positive
, the line is
increasing
; if 'm' is
negative
, the line is
decreasing
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What does it mean if a line has a gradient of zero?
It means the line is
horizontal
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What does it mean if a line has an undefined gradient?
It means the line is
vertical
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How do you find the coordinates of the intersection of y = 1 and x = 7?
The coordinates are (
7
,
1
)
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What is the significance of the point (3, 4) in the context of intercepts?
It is the point where two lines
intersect
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What does the term 'simultaneous equations' refer to?
It refers to a set of equations with
multiple variables
that are solved together
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What is the purpose of plotting graphs in algebra?
To visually represent relationships between
variables
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How can you determine the slope of a line from a graph?
By measuring the
rise over run
between two points on the line
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What is the significance of the equation y = mx + c in real-world applications?
It models linear relationships in various fields such as
physics
,
economics
, and
engineering
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How do you interpret the slope of a line in a real-world context?
The slope indicates the
rate of change
between the two
variables
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What is the relationship between the coefficients in the equation y = mx + c?
The coefficient 'm' affects the
steepness
of the line, while 'c' affects the
vertical position
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What is the importance of understanding intercepts in graphing?
Intercepts help identify where the line crosses the
axes
, which is crucial for graphing
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See all 242 cards
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