Respuesta :

y-y1=m(x-x1)
y-9=2(x-3) you can use this since its in point-intercept form or continue
y-9=2x-6 then add 9 to each side
y=2x+3 
Hope this helps and is Correct!




kudzordzifrancis
ANSWER
[tex]y - 9 =2(x - 3)[/tex]
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Or

[tex]2x - y + 3 = 0[/tex]
Or

[tex]y = 2x + 3[/tex]



EXPLANATION

The given line has slope,

[tex]m = 2[/tex]

and

[tex](3,9)[/tex]

We can find the equation in the point slope form, which is given by,

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


We substitute the point and slope to get,

[tex]y - 9 =2(x - 3)[/tex]


We can also simplify further to get,

[tex]y - 9 = 2x - 6[/tex]

We make y the subject to get,

[tex]y = 2x - 6 + 9[/tex]

[tex]y = 2x + 3[/tex]

This is called the slope intercept form.


We could also write in standard form to get

[tex]2x - y + 3 = 0[/tex]
Or

[tex]2x - y = - 3[/tex]