Chapter 3: Q22. (page 179)

Find the value of r so the line that passes through the pair of points has the given slope.
$(- 4, 8) (r, 12), m = \frac{4}{3}$
F $- 4$
G $- 1$
H 0
J 3

Short Answer

Expert verified

The option G $(- 1)$ represents the required value.

Step by step solution

Step 1. Determine the formula that can be used.

The slope formula $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ can be used to calculate the required value.

Step 2. Take the help of the obtained method.

Take the help of formula for slope of a line represented by $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ in which the required values can be filled by using the provided points and slope as the points are in the form of $(x_{1}, y_{1}) (x_{2}, y_{2})$ .

$\frac{4}{3} = \frac{12 - 8}{r - (- 4)} \frac{4}{3} = \frac{4}{r + 4} \frac{4}{3} \cdot 3 = \frac{4}{r + 4} \cdot 3 4 = \frac{12}{r + 4} 4 (r + 4) = \frac{12}{r + 4} \cdot (r + 4) 4 r + 16 = 12 4 r + 16 - 16 = 12 - 16 4 r = - 4 \frac{4 r}{4} = \frac{- 4}{4} r = - 1$

Step 3. Write the conclusion.

The value of r is $- 1$ so it is the required value.

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Find the value of r so the line that passes through the pair of points has the given slope.
$(- 4, 8) (r, 12), m = \frac{4}{3}$
F $- 4$
G $- 1$
H 0
J 3

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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Find the value of r so the line that passes through the pair of points has the given slope.−4,8r,12,m=43F−4G−1H 0J 3

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Decision Maths

Calculus

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the value of r so the line that passes through the pair of points has the given slope.
$(- 4, 8) (r, 12), m = \frac{4}{3}$
F $- 4$
G $- 1$
H 0
J 3