Step 1 of 4 · The trick
y = mx is a straight line through the origin (0, 0). The number m is the slope.
Pick a few x values · multiply each by m to get y · plot the points · draw a line.
Bigger m = steeper line.
Slope m = for every 1 you go right, y goes UP by m.
Step 2 of 4 · y = 2x
y = 2x
From (1,2) to (2,4): right 1, up 2 → slope m = 2
y = 2x · a line through the origin, slope 2
Step 3 of 4 · y = 4x (steeper!)
y = 4x
From (1,4) to (2,8): right 1, up 4 → slope m = 4 · steeper than y = 2x!
y = 4x · same origin, twice as steep as y = 2x
Step 4 of 4 · Your turn
For each x, multiply by m to get y.
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Nice work!
You graphed lines through the origin.