Graphing Straight Lines (VCE SSCE Mathematical Methods): Flashcards

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Graphing Straight Lines
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Axis intercepts

Points where line crosses x-axis and y-axis

Y-coordinate at x-axis intercept

Zero

Method to find x-axis intercept

Set y=0y = 0 and solve for xx

X-coordinate at y-axis intercept

Zero

Method to find y-axis intercept

Set x=0x = 0 and solve for yy

Y-intercept in form y=mx+cy = mx + c

The constant term cc

Angle of inclination

Angle line makes with positive x-axis direction

Gradient and angle of inclination relationship

tanθ=m\tan \theta = m where mm is gradient

Angle formula for positive gradient

θ=arctan(m)\theta = \arctan(m), gives acute angle

Angle formula for negative gradient

θ=180°arctan(m)\theta = 180° - \arctan(|m|), gives obtuse angle

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