# Linear Law Questions: Math Quiz!

10 Questions | Total Attempts: 140

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• 1.
Two variables, x, and y are related by the equation  . Write down the y-intercept of the graph of y against .
• 2.
Two variables, x and y are related by the equation . Write down the gradient of the graph of xy against .
• 3.
Two variables, x and y are related by the equation . Write down the gradient of the graph of lg y against x to 3 significant figures.
• 4.
Two variables, x and y are related by the equation . Write down the y-intercept of the graph of lg y against lg x to 3 significant figures.
• 5.
Two positive variables, x and y are related by the equation  .Write down the y-intercept of the graph of  against .
• 6.
Two positive variables, x and y are related by the equation   .Write down the gradient of the graph of  against .
• 7.
The diagram shows a straight line graph obtained by plotting xy against x. Find y in terms of x.
• A.

Y = -0.5x + 3

• B.

Y = -0.5 + 3x

• C.

y = -0.5x + 13

• D.

Y = -0.5 + (3/x)

• 8.
Given the graph shown below, express y in terms of x.
• A.

Y = 0.5x^(0.5) + 4.5

• B.

Y = 0.5x + 4.5x^(0.5)

• C.

Y = 0.5x + 4.5

• D.

Y = 0.5x + 4.5x^2

• 9.
The variables x and y are related in such a way that when (y - x) is plotted against x2, a straight line which passes (1,1) and (5, 3) is obtained. Find the values of x when y = 5.
• A.

X = 2.16, x = -4.16

• B.

X = -2.16, x = 4.16

• C.

X = -7.19, x =-2.19

• D.

X = 7.19, x = 2.19

• 10.
It is known that x and y are related by the equation ay = bx3 - x, where a and b are unknown constants. Express this equation in a form suitable for drawing a straight-line graph, and state which variable should be used for each axis. Which of the following statement is correct?
• A.

Plot (y/x) against (x^2), gradient = (b/a) and y-intercept = -(1/a)

• B.

Plot (y/x) against (x^2), gradient = (b/a) and (y/x)-intercept = -(1/a)

• C.

Plot (y/x) against (x), gradient = (-b/a) and y-intercept = -(1/a)

• D.

Plot (y/x) against (x), gradient = (-b/a) and (y/x)-intercept = -(1/a)

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