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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. 431 (page 539)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
$(2, 7) a n d (3, 8)$

Short Answer

Expert verified

$y = x + 5$

Step by step solution

01

Step 1. Given Information

$(2, 7) a n d (3, 8)$

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 :

$y - 7 = \frac{8 - 7}{3 - 1} (x - 2) \Rightarrow y - 7 = x - 2 \Rightarrow y = x + 5$

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Most popular questions from this chapter

In the following exercises, which order pair are solution to the given equation

$x + 3 y = 9$

(a) $(0, 3)$ (b) $(6, 1)$ (c) $(- 3, - 3)$

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: ⓐ $(- 4, 1)$ ⓑ $(- 2, 3)$ ⓒ $(2, - 5)$ ⓓ $(- 2, 5)$ ⓔ $(- 3, \frac{5}{2})$

Complete the table to find three solutions to this equation:

In the following exercises, plot each point in a rectangular coordinate system.

ⓐ $(- 2, 0)$ ⓑ $(- 3, 0)$ ⓒ $(0, 0)$ ⓓ $(0, 4)$ ⓔ $(0, 2)$

Find the intercepts for $3 x + y = 6$

See all solutions

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