Families of Straight Lines (VCE SSCE Mathematical Methods): Quizzes

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Families of Straight Lines
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What is a family of straight lines?

Lines sharing a common property

In the equation y=mx+2y = mx + 2, which variable is the parameter?

mm

For lines in the family y=mxy = mx, what point do all lines pass through?

(0,0)(0, 0)

Lines in the family y=3x+cy = 3x + c are all:

Parallel to each other

Lines in the family y=mx+2y = mx + 2 all intersect at which point?

(0,2)(0, 2)

For y=mxy = mx when m<0m < 0, how does the line slope?

Downward

If y=mx+2y = mx + 2 passes through (3,11)(3, 11), what is mm?

33

If a line has gradient mm, what is the gradient of a perpendicular line?

- rac{1}{m}

When multiplying an inequality by a negative number, what happens to the sign?

It reverses

In the form rac{x}{a} + rac{y}{b} = 1, what does aa represent?

The x-intercept

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