Chapter 28 Multiple choice questions

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. What is the gradient and the intercept for a straight line with the equation: y = 6x − 5.

Gradient = 6, Intercept = 5 correct incorrect

Gradient = 6, Intercept = −5 correct incorrect

Gradient = 5, Intercept = −6 correct incorrect

Gradient = 5, Intercept = 6 correct incorrect

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. What is the gradient and the intercept for a straight line with the equation: 6y = 48x − 24.

Gradient = 48, Intercept = −24 correct incorrect

Gradient = 8, Intercept = −24 correct incorrect

Gradient = 8, Intercept = −4 correct incorrect

Gradient = 6, Intercept = −4 correct incorrect

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. The definition for the Gibbs free energy is: ΔG = ΔH − T ΔS. Select the statement that is correct from the list below.

A straight-line graph of ΔG against T will have ΔS as the gradient and ΔH as the intercept. correct incorrect

A straight-line graph of ΔG against T will have ΔH as the gradient and ΔS as the intercept. correct incorrect

A straight-line graph of ΔG against T will have ΔH as the gradient and −ΔS as the intercept. correct incorrect

A straight-line graph of ΔG against T will have −ΔS as the gradient and ΔH as the intercept. correct incorrect

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. A straight line crosses the x-axis at (36, 0) and the y-axis at (0, 12). What is the intercept for this line?

Intercept: c = 36 correct incorrect

Intercept: c = 24 correct incorrect

Intercept: c = 12 correct incorrect

Intercept: c = 3 correct incorrect

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. Calculate the gradient of a straight line which passes through (4, 9) and (8, 12).

$\frac{3}{4}$ correct incorrect

−$\frac{4}{3}$ correct incorrect

$\frac{4}{3}$ correct incorrect

$-\frac{3}{4}$ correct incorrect

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. Calculate the gradient of a straight line which passes through (−3, 2) and (−7, −18).

−5 correct incorrect

4 correct incorrect

5 correct incorrect

2 correct incorrect

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. Deduce the equation of a straight line which passes through the point (5, 3) and has a gradient of 2.

y = 2x − 1 correct incorrect

y = 7x − 2 correct incorrect

y = 2x + 7 correct incorrect

y = 2x − 7 correct incorrect

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. Deduce the equation of a straight line which passes through the point (−6, −2) and has a gradient of −1.5.

2y = −3x − 11 correct incorrect

y = −3x − 11 correct incorrect

2y = −3x − 22 correct incorrect

2y = 3x + 22 correct incorrect

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. Deduce the equation of a straight line which passes through the points (4, −3) and (6, 9).

y = 6x − 27 correct incorrect

y = $\frac{5}{9}$x −$\frac{47}{9}$ correct incorrect

y = −6x + 21 correct incorrect

y = $\frac{1}{6}$x −$\frac{11}{3}$ correct incorrect

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. Deduce the equation of a straight line which passes through the points (−5, −23) and (−2, −8).

y = −6x − 18 correct incorrect

y = 5x + 2 correct incorrect

y = −5x − 8 correct incorrect

y = −2x − 12 correct incorrect