Respuesta :

Answer:

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form

so

Convert to point slope form

subtract 2 both sides

[tex]y-2=-\frac{4}{3}x[/tex]

Rewrite as

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

the slope is [tex]m=-\frac{4}{3}[/tex]

the point is [tex](0,2)[/tex]

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