Which of the following statements is/are correct for the 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
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 and c=5
⇒y=−ab×−ca
Slope is −ab=−2−3=23
Given equation can also be written in intercept form
⇒2x−3y+5=0
⇒2x−3y=−5
⇒2x−5−3y−5=1
⇒x−52+y53=1
Comparing this equation with xa+yb=1
X- intercept=−52
Y- intercept=53
All 1,2 and 3 statements are correct.