Answer:
The equation of line with point (6,7) and slope -2 is 2x + y = 19.
Explanation:
The given point in the line equation is (6,7)
The slope of the kine equation is m = -2
Now, THE SLOPE FORM of a line equation with point (x0,y0) is given as
(y - y0) = m ( x - x0)
So, applying the form here, we get
y - 7 = (-2) (x - 6)
or, y - 7 = - 2x + 12
or, y = -2x + 12 + 7
⇒ 2x + y = 19
Hence the equation of line with point (6,7) and slope -2 is 2x + y = 19.
The slope form is y - 7 = (-2) (x - 6)