Graphing Lines (Leaving Cert Mathematics): Flashcards

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Graphing Lines
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X-intercept definition

Point where line crosses x-axis (where y=0y = 0)

Y-intercept definition

Point where line crosses y-axis (where x=0x = 0)

How to find x-intercept

Set y=0y = 0 and solve for xx

How to find y-intercept

Set x=0x = 0 and solve for yy

Equation form of vertical lines

x=ax = a (where aa is a constant)

What are vertical lines parallel to?

The y-axis

Equation form of horizontal lines

y=by = b (where bb is a constant)

What are horizontal lines parallel to?

The x-axis

Characteristic of lines through origin

No constant term in equation

Point all lines through origin pass through

(0,0)(0, 0) - the origin

How to verify if point lies on a line

Substitute coordinates into equation; if it holds true, point is on line

Minimum points needed to graph a line

Two points

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