Chapter 4: Q. 12 (page 247)

Find an equation of the line perpendicular to $3 x - 2 y = 7$ that contains the point (1, 5).

Short Answer

Expert verified

The equation of the line is $y = - \frac{2}{3} x + \frac{17}{3}$

Step by step solution

Given information

We are given an equation $3 x - 2 y = 7$

Find the slope of the perpendicular line

First we find the slope of given line

$3 x - 2 y = 7 2 y = 3 x - 7 y = \frac{3}{2} x - \frac{7}{2}$

Hence the slope of line is $\frac{3}{2}$

Hence the slope of perpendicular line is $- \frac{2}{3}$

Find y-intercept

The line passes through the point $(1, 5)$

We get,

$y = - \frac{2}{3} x + c 5 = - \frac{2}{3} + c c = \frac{17}{3}$

Hence the equation of the perpendicular line $y = - \frac{2}{3} x + \frac{17}{3}$

Conclusion

The equation of the line is $y = - \frac{2}{3} x + \frac{17}{3}$

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Find an equation of the line perpendicular to $3 x - 2 y = 7$ that contains the point (1, 5).

Short Answer

Step by step solution

Given information

Find the slope of the perpendicular line

Find y-intercept

Conclusion

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Find an equation of the line perpendicular to 3x-2y=7that contains the point (1, 5).

Short Answer

Step by step solution

Given information

Find the slope of the perpendicular line

Find y-intercept

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Probability and Statistics

Pure Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find an equation of the line perpendicular to $3 x - 2 y = 7$ that contains the point (1, 5).