Linear FunctionsReading Lines at a Glance

Drag these lines into order from flattest to steepest — compare the size of each slope, ignoring its sign.

y=1 — slope 0

y=x — slope 1

y=3x — slope 3

y=10x — slope 10

Sort each line by the sign of its slope — does it rise, fall, or stay flat?

y = 2x + 1

y = x - 4

y = -3x

y = -x + 2

y = 5

Rising (m greater than 0)

Falling (m less than 0)

Flat (m equals 0)

Match each equation to the line it describes.

y = 2x

y = -x + 3

y = 4

Rises steeply through the origin

Falls, crossing the y-axis at 3

A flat horizontal line

Two lines, two stories. Tap between them.

When m>0, the line rises from left to right — larger inputs give larger outputs.

When m<0, the line falls from left to right — larger inputs give smaller outputs.

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