Respuesta :

Answer:

The equation of slope = 2 passing through (6, 2) is y = 2x - 12

Solution:

Given that, slope = 2 and a point is (6, 2)

We have to find the line that passes through the (6, 2) and having slope 2.

Now we know that,  

Point – slope form of a line is

[tex]y-y_{1}=m\left(x-x_{1}\right) \text { where }\left(x_{1}, y_{1}\right) \text { is a point on line and } m \text { is slope of line. }[/tex]

[tex]\text { In our problem, } m=2, x_{1}=6, y_{1}=2[/tex]

Substitute these values in point – slope form.

y – 2 = 2(x – 6)

y – 2 = 2x – 12  

2x – y = 12 – 2  

2x – y = 10

hence, the line equation is y = 2x - 12

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