Respuesta :

The given points are (-2,5) and (2,0).

Let's use the slope formula.

[tex]m=\frac{y_2-y_1_{}}{x_2-x_1}_{}[/tex]

Let's replace the points.

[tex]m=\frac{0-5}{2-(-2)}=-\frac{5}{4}[/tex]

Then, we use the point-slope formula to find the equation of the line.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-0=-\frac{5}{4}(x-2) \\ y=-\frac{5}{4}x+\frac{5}{2} \end{gathered}[/tex]

Hence, the equation of the line is

[tex]y=-\frac{5}{4}x+\frac{5}{2}[/tex]

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