5. Straight Line Graphs Flashcards

1
Q

Gradient

A

(y2-y1) / (x2-x1)

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2
Q

How to show that points are collinear

A

You must explain that the gradient is the same AND they share a common point

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3
Q

Forms of an equation

A

y = mx + c “Slope-intercept form”
ax + by + c = 0 “Standard” form
y-y1 = m(x-x1)

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4
Q

How to find the equation of a line from two points on a line - constant (x1,y1) and variable (x,y)

A

m = (y-y1) / (x-x1)
y-y1 = m(x-x1)
Convert to ax + by + c = 0 if necessary
DO NOT SUBSTITUTE

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5
Q

How to find the point two lines meet at

A

Solve the equations simultaneously

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6
Q

How to show two lines are perpendicular

A

m1 m2 = -1

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7
Q

What to do when you interpret?

A

Use specific values

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