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Question

Which of the following statement is / are correct for equation 2x - 3y + 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


A

only 1 & 2

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B

only 2&3

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C

only 3&1

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D

All 1, 2 & 3

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Solution

The correct option is D

All 1, 2 & 3


Given straight line is 2x - 3y + 5 = 0

Comparing given line with general from of line

ax + by + c = 0

a = 2, b= -3 &c = 5

y = ab×ca

Slope is ab=23=23

Given equation can also be written in intercept form

2x - 3y + 5 = 0

2x - 3y = -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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