ilw493
Answered

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A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)

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.
jarrynriley

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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