Question

2025 Page 12 of 12 M131 Name of student \( \qquad \) Class \( \qquad \) 20. Figure 5 shows a straight line passing through the points A \( (-4,5) \) and \( B(8,- \) 1 ), and cutting the \( y \) axis and \( x \) axis at D and C respectively. Figure 5. Calculate the distance between D and C, giving the answer in simplified surd form. (5 marks)

          2025
Page 12 of 12
M131

Name of student \( \qquad \) Class \( \qquad \)
20. Figure 5 shows a straight line passing through the points A \( (-4,5) \) and \( B(8,- \) 1 ), and cutting the \( y \) axis and \( x \) axis at D and C respectively.

Figure 5.
Calculate the distance between D and C, giving the answer in simplified surd form. (5 marks)

2025
Page 12 of 12
M131

Name of student Class
20. Figure 5 shows a straight line passing through the points A (-4,5) and B(8,- 1 ), and cutting the y axis and x axis at D and C respectively.

Figure 5.
Calculate the distance between D and C, giving the answer in simplified surd form. (5 marks)

Added by Darnell C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Donna Densmore

Step 1

The formula for the slope \(m\) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substitute the given points: \[ m = \frac{-1 - 5}{8 - (-4)} = \frac{-6}{12} = -\frac{1}{2} \] Show more…

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2025 Page 12 of 12 M131 Name of student \( \qquad \) Class \( \qquad \) 20. Figure 5 shows a straight line passing through the points A \( (-4,5) \) and \( B(8,- \) 1 ), and cutting the \( y \) axis and \( x \) axis at D and C respectively. Figure 5. Calculate the distance between D and C, giving the answer in simplified surd form. (5 marks)