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Chapter 1: Q. 91 (page 42)

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

2x+3y=6

Short Answer

Expert verified

(a)

x-intercept is(3,0)

y-intercept is(0,2)

(b)

The graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

2x+3y=6

02

Step 2. Finding the x-intercept

The equation of the line is

2x+3y=6

Plug y=0and find x-value

2x+3×0=62x+0=62x=6x=62=3

So,

x-intercept is(3,0)

03

Step 2. Finding the y-intercept

The equation of a line is

2x+3y=6

Plug x=0and find y-value

2×0+3y=60+3y=63y=6y=2

So,

y-intercept is(0,2)

04

Step 4. Sketching the graph

Locate intercept points (3,0),(0,2)on the graph and then join them to sketch the graph.

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Most popular questions from this chapter

The figure shows the graph of two perpendicular lines. Which of the following pairs of equations might have such a graph?

(a)y-2x=2y+2x=-1(b)y-2x=02y+x=0(c)2y-x=22y+x=-2(d)y-2x=2x+2y=-1(e)2x+y=-22y+x=-2

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

P(2,-4),m=0

The area of a triangle whose base is band whose altitude is his A=_________.

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

On a real number line the origin is assigned the number _________ .
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