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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 429 (page 539)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
$(3, 1) a n d (2, 5)$

Short Answer

Expert verified

$y = - 4 x + 13$

Step by step solution

01

Step 1. Given Information

The line passes through:

$(3, 1) a n d (2, 5)$

02

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 :

$y - 1 = \frac{5 - 1}{2 - 3} (x - 3) \Rightarrow y - 1 = - 4 (x - 3) \Rightarrow y - 1 = - 4 x + 12 \Rightarrow y = - 4 x + 13$

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Most popular questions from this chapter

Name the ordered pair of each point shown in the rectangular coordinate system.

Find the equation of the line shown in the graph. Write the equation in slope–intercept form.

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

ⓐ $(- 4, 2)$ ⓑ $(- 1, - 2)$ ⓒ $(3, - 5)$ ⓓ $(- 3, 5)$ ⓔ $(\frac{5}{3}, 2)$

Find the intercepts for $x - 3 y = 12$

Which of the following ordered pairs are solutions to the equation $4 x - y = 8 ?$

$(a) (0, 8) (b) (2, 0) (c) (1, - 4)$

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