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Sagot :
We have to find slopes one by one.
[tex]\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
#1
- (0,1)
- (12,3)
[tex]\\ \sf\longmapsto \dfrac{3-1}{12-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{6}>0[/tex]
- Line passes through this.
#2
- (-2,-5)
[tex]\\ \sf\longmapsto \dfrac{-5-1}{-2-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-6}{-2}[/tex]
[tex]\\ \sf\longmapsto 3>0[/tex]
- Line passes through this
#3
- (-3,1)
[tex]\\ \sf\longmapsto \dfrac{1-1}{-3-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{0}{-3}=0[/tex]
- Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
- ( 1,15)
[tex]\\ \sf\longmapsto \dfrac{15-1}{1-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{14}{1}[/tex]
[tex]\\ \sf\longmapsto 14>0[/tex]
- Line passes through this
#5
- (5,-2)
[tex]\\ \sf\longmapsto \dfrac{-2-1}{5-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-3}{5}<0[/tex]
- Line doesnot pass through this.
We have to find slopes one by one.
#1
(0,1)
(12,3)
Line passes through this.
#2
(-2,-5)
Line passes through this
#3
(-3,1)
Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
( 1,15)
Line passes through this
#5
(5,-2)
Therefore, The Line does not pass through this.
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