Respuesta :

Answer:

y = [tex]-\frac{3}{7} x[/tex] + 2

Step-by-step explanation:

The y-intercept of the line is (0,2)

The slope of the line is  [tex]-\frac{3}{7}[/tex]

We derive the slope of a line by dividing the change in y by the change in x

So,

[tex]\frac{y - 2}{x - 0}[/tex] =  [tex]-\frac{3}{7}[/tex]

y - 2 =  [tex]-\frac{3}{7} x[/tex]

The equation of the line therefore is;

y =  [tex]-\frac{3}{7} x[/tex] + 2