KyreeseS455486 KyreeseS455486
  • 25-10-2022
  • Mathematics
contestada

find the equation of the line?

Respuesta :

JathanC347414 JathanC347414
  • 25-10-2022

Let's calculate the straight line equation

To do this we will take two points from the graph

A = (0,3)

B= (2,0)

For them we will first calculate the slope of the curve

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]\begin{gathered} m=\frac{0-3}{2-0} \\ m=\frac{-3}{2} \end{gathered}[/tex]

Now let's calculate the y-axis intersection

[tex]\begin{gathered} b=y-mx \\ b=3-m\cdot0 \\ b=3 \end{gathered}[/tex]

The equation of the line in the slope-intercept form is

[tex]y=-\frac{3}{2}x+3[/tex]

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