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RSFC Y12 Maths 23-25 > Y12 004 Equation of a Line > Flashcards

Y12 004 Equation of a Line Flashcards

1
Q

A Cartesian plane is …

A

…the x-y coordinate plane.

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2
Q

How would you check if a point lies on a line / curve?

A

Substitute in the coordinate to check if it satisfies the equation.

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3
Q

How do you find the x-intercept?

A

Substitute y = 0.

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4
Q

How do you find the y-intercept?

A

Substitute x = 0.

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5
Q

What kind of graph has an equation of the form y = mx + c and what is given by m and c?

A

A straight-line graph with gradient m and y-intercept c.

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6
Q

What is the gradient and y-intercept of:

A

gradient = 3
y-intercept = 8

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7
Q

What is the gradient and y-intercept of:

A

gradient = -3/2
y-intercept = 5

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8
Q

What is the gradient and y-intercept of:

A

gradient = -4/5
y-intercept = 3/5

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9
Q

What is the relationship between the gradients of parallel lines?

A

They are the same.

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10
Q

What is the relationship between the gradients of perpendicular lines?

A
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11
Q

Are these parallel, perpendicular or neither?

A
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12
Q

Are these parallel, perpendicular or neither?

A
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13
Q

Are these parallel, perpendicular or neither?

A

Neither. The equations represent the same line.

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14
Q

How would you find the equation of the perpendicular bisector of the straight line joining two points?

A
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15
Q

What is ‘intersect’ a trigger word for?

A

Simultaneous equations.

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16
Q
A
17
Q

What form does a linear model take?

A
18
Q

For linear model y = ax + b, interpret the meaning of the constants a and b.

A

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.

19
Q

Don’t forget to include UNITS in your modelling answers.

E.g. £, m, g, elephants

A

Not a question, just a common mistake.

UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS, UNITS

RSFC Y12 Maths 23-25 (17 decks)

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