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Question

Which of the following statements is/are correct for the equation 2x3y+5=0

1. Slope of the straight line is 23

2. x-intercept of the straight line is 52

3. y-intercept of the straight line is 53


  1. only 1 & 2

  2. only 2&3

  3. only 3&1

  4. All 1, 2 & 3


Solution

The correct option is D

All 1, 2 & 3


Given straight line is 2x3y+5=0

Comparing given line with general from of line 

ax+by+c=0

a=2,b=3 and c=5

y=ab×ca

Slope is ab=23=23

Given equation can also be written in intercept form 

2x3y+5=0

2x3y=5

2x53y5=1

x52+y53=1

Comparing this equation with xa+yb=1

X- intercept=52

Y- intercept=53

All 1,2 and 3 statements are correct.

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