alyaziah72 alyaziah72
  • 21-06-2022
  • Mathematics
contestada

Find the equation of the straight line passing through the points (-1,3) and (1,9).

Respuesta :

Shrush1 Shrush1
  • 21-06-2022

Answer:

The equation of the straight line is [tex]y=3x+6[/tex]

Step-by-step explanation:

Any straight line passing through points [tex](a_1,b_1)[/tex] and  [tex](a_2,b_2)[/tex]  is given by:

[tex]y-b_1=m(x-a_1)[/tex]  where m is defined as the slope of the line:

[tex]m=\frac{b_2-b_1}{a_2-a_1}[/tex]

In the given question

[tex]m=\frac{9-3}{1-(-1)} =3[/tex]

Substituting the values we get:

[tex]y-3=3(x+1)\\y-3=3x+3\\y=3x+6[/tex]

Reference: https://www.cuemath.com/geometry/equation-of-a-straight-line/

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