Respuesta :

Answer:

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

Step-by-step explanation:

Assuming the question wants you to write and equation passing through (2,-1); and parallel to y=-3/2x+6.

Then we use the slope intercept form:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and slope to get:

[tex]y - - 1 = - \frac{3}{2} (x - 2)[/tex]

[tex]y + 1 = - \frac{3}{2}x - + 3[/tex]

[tex]y = - \frac{3}{2}x + 3 - 1[/tex]

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

Note that parallel lines have the same gradient.

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