The Equation of a Straight Line (VCE SSCE Mathematical Methods): Quizzes

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The Equation of a Straight Line
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What is the gradient of the line y=3x4y = 3x - 4?

33

What is the gradient of the line 3y+6x=93y + 6x = 9 after rearranging to y=mx+cy = mx + c form?

2-2

Using point-gradient form, what is the equation of a line through (1,3)(-1, 3) with gradient 44?

y=4x+7y = 4x + 7

What is the gradient of the line through (1,2)(1, -2) and (3,2)(3, 2)?

22

In the intercept form xa+yb=1\frac{x}{a} + \frac{y}{b} = 1, what does aa represent?

xx-axis intercept

What is the gradient of a horizontal line?

00

Why can't a vertical line be written in the form y=mx+cy = mx + c?

Its gradient is undefined

What is the equation of a line with gradient 3-3 and yy-intercept 55?

y=3x+5y = -3x + 5

What is the intercept form equation if xx-intercept is 22 and yy-intercept is 44?

x2+y4=1\frac{x}{2} + \frac{y}{4} = 1

A line has yy-intercept 3-3. Which point does it pass through?

(0,3)(0, -3)

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