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Chapter 1: Q. 109 (page 42)

Write an equation of each line. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

Short Answer

Expert verified

The equation of line is: $y = - \frac{1}{3} x + 1$

Step by step solution

01

Step 1. Given information

Graph of line is:

02

Step 2. Finding slope of the line.

The two points on the line are: $(0, 1) and (3, 0)$

Slope of the line is given by,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \Rightarrow m = \frac{0 - 1}{3 - 0} \Rightarrow m = - \frac{1}{3}$

03

Step 3. Finding y-intercept of the line.

From the graph, y-intercept, $b = 1$

04

Step 4. Finding equation of the line

Slope-intercept form of the line is: $y = m x + b$

Substituting slope and y-intercept in the equation above, we get, $y = - \frac{1}{3} x + 1$

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Most popular questions from this chapter

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

If two distinct lines have the same slope, but different $x$ -intercepts, can they have the same $y$ -intercept?

Graph the line containing the point P and having slope m.

$P (2, - 4), m = 0$

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .

$P_{1} = (a, a); P_{2} = (0, 0)$

For the line $2 x + 3 y = 6$ , the $x -$ intercept is _____ and the $y -$ intercept is _______.

See all solutions

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