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Chapter 1: Q. 97 (page 42)

12x+13y=1

(a) find the intercepts of the graph of equation

(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: 2; y-intercept: 3

Part (b) Graph of the equation,12x+13y=1

Step by step solution

01

Part (a) Step 1. Given information

Equation of a line:12x+13y=1

02

Part (a) Step 2. Finding the x-intercept

To find the x-intercept, put y=0

12x+13(0)=1

12x+0=1

12x=1

x=2

03

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put x=0

12(0)+13y=1

0+13y=1

y3=1

y=3

04

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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Most popular questions from this chapter

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

The points, if any, at which a graph crosses or touches the

coordinate axes are called ___________.

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

P(-1,3),m=0

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

P(2,-4),m=0

Plot each point. Then plot the point that is symmetric to it with respect to -

(a) the x-axis

(b) the y-axis

(c) the origin

Point (3, 4)
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