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