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1. Please Determine the equation of the line from the tables and the graphs.

1 Please Determine The Equation Of The Line From The Tables And The Graphs class=
1 Please Determine The Equation Of The Line From The Tables And The Graphs class=

Answer :

DᴀƦᴋPᴀƦᴀᴅᴏXGO

1. find equation of line with given data :

b) from the given table, we get y - intercept (c) = -4

now let's find slope (m) :

  • [tex] \dfrac{y_2-y_1}{ x_2 - x_1}[/tex]

  • [tex] \dfrac{0 - ( - 2)}{10 - 5} [/tex]

  • [tex] \dfrac{2}{5} [/tex]

so, the required equation will be :

  • [tex]y = \dfrac{2}{5} x - 4[/tex]

c) from the given graph we can see that y - intercept (c) = 3

now, let's find the slope (m) :

  • [tex] \dfrac{3 - 0}{0 - 7} [/tex]

  • [tex] - \dfrac{3}{7} [/tex]

the equation will be :

  • [tex]y = - \dfrac{3}{7} x + 3[/tex]

d) From this graph we get y - intercept (c) = -4

slope :

  • [tex] \dfrac{4 - 0}{4 - 2} [/tex]

  • [tex] \dfrac{4}{2} [/tex]

  • [tex]2[/tex]

so, required equation will be :

  • [tex]y = 2x - 4[/tex]

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