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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 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鈥搃ntercept 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 :

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

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Most popular questions from this chapter

Find the equation of the line shown in the graph.

Find the intercepts for $3 x - 2 y = 12$

In the following exercises, complete the table to find solutions to each linear equation.

$y = 2 x - 4$

x	y	(x,y)
0
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Find an equation of a line with slope $\frac{2}{5}$ and y-intercept $(0, 4)$ .

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

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