parallel lines

when the blue point is moved the new gradient is shown

the gradient can go negative

when the red point is moved the line is shifted (translated) up or down

perpendicular lines

the origin is fixed, the other 3 points can be moved to create

parallel lines

perpendicular lines

translating lines

all four points can be moved

students could explore:

parallel

perpendicular

lines

or be asked to find pairs of lines that seem to intersect e.g. at the point (-3, 3)

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