Graphing Straight Lines (VCE SSCE Mathematical Methods): Quizzes

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Graphing Straight Lines
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To find the x-axis intercept of a line, what value should you set in the equation?

Set y=0y = 0

To find the y-axis intercept of a line, what value should you set in the equation?

Set x=0x = 0

In the equation y=mx+cy = mx + c, what does the constant term cc represent?

The y-intercept

What is the x-intercept of the line 2x+4y=102x + 4y = 10?

(5,0)(5, 0)

What is the y-intercept of the line y=2x6y = 2x - 6?

(0,6)(0, -6)

What is the angle of inclination of a straight line?

Angle with positive x-axis

What is the relationship between gradient mm and angle of inclination θ\theta?

tanθ=m\tan \theta = m

For a line with a positive gradient, what type of angle is the angle of inclination?

Acute (less than 90°90°)

What formula finds the angle of inclination for a line with negative gradient mm?

θ=180°arctan(m)\theta = 180° - \arctan(|m|)

On Casio ClassPad, which option finds where a line crosses the x-axis?

Root

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