Y12 005 Equation of a Line & Coordinate Geometry Flashcards
A Cartesian plane is …
…the x-y coordinate plane.
How would you check if a point lies on a line / curve?
Substitute in the coordinate to check if it satisfies the equation.
How do you find the x-intercept?
Substitute y = 0.
How do you find the y-intercept?
Substitute x = 0.
What kind of graph has an equation of the form y = mx + c and what is given by m and c?
A straight-line graph with gradient m and y-intercept c.
What is the gradient and y-intercept of:
gradient = 3
y-intercept = 8
What is the gradient and y-intercept of:
gradient = -3/2
y-intercept = 5
What is the gradient and y-intercept of:
gradient = -4/5
y-intercept = 3/5
What is the relationship between the gradients of parallel lines?
They are the same.
What is the relationship between the gradients of perpendicular lines?
Are these parallel, perpendicular or neither?
Are these parallel, perpendicular or neither?
Are these parallel, perpendicular or neither?
Neither. The equations represent the same line.
How would you find the equation of the perpendicular bisector of the straight line joining two points?
What is ‘intersect’ a trigger word for?
Simultaneous equations.
What form does a linear model take?
For linear model y = ax + b, interpret the meaning of the constants a and b.
As x increases by 1 y increases by a.
y = b when x = 0.
For a given real-life model interpret the real-life meaning of these.
Don’t forget to include UNITS in your modelling answers.
E.g. £, m, g, elephants
Not a question, just a common mistake.
UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS
If they use the 5 first on the numerator then they should use the -1 first on the denominator.
- Only (c) is correct.
