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Linear Functions
What Is a Straight Line?
Playing with Slope and Intercept
Reading Lines at a Glance
Putting It All Together
Curvingo · Made in India

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Linear FunctionsPlaying with Slope and Intercept

Reading time: ~5 min

Drag the sliders and watch the line respond in real time. Hover the intercept to light up the dot, or the slope to light up the line itself.

Set the slope to ${m} and the intercept to ${c}. The equation becomes

y=${m}x+${c}

Whenever x increases by 1, y changes by exactly ${m}. Right now the line passes through the point (0, ${c}), and at x=2 its height is ${m * 2 + c}.

Continue

Now aim. Move the sliders until the line passes through the point (1, 5) — you need a slope and intercept for which ${m}×1+${c}=5.

Try slope ${m} and intercept ${c}. Keep adjusting — the chart locks in when you land it.

Sina