Chapter 4: Q. 432 (page 539)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
$(- 3, - 4) a n d (5 - 2)$

Short Answer

Expert verified

$y = \frac{1}{4} x - \frac{13}{4}$

Step by step solution

Step 1. Given Information

The line passes through:

$(- 3, - 4) a n d (5 - 2)$

Step 2. Equation of line

We know that equation of line is :

$y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$

Using this :

$y + 4 = \frac{- 2 + 4}{5 + 3} (x + 3) \Rightarrow y + 4 = \frac{2}{8} (x + 3) \Rightarrow y + 4 = \frac{1}{4} x + \frac{3}{4} \Rightarrow y = \frac{1}{4} x - \frac{13}{4}$

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In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
$(- 3, - 4) a n d (5 - 2)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Equation of line

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In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.(−3,−4)and(5−2)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Equation of line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Applied Mathematics

Statistics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
$(- 3, - 4) a n d (5 - 2)$