Answer:
The equation of the required line is: 2x + y = 8
Step-by-step explanation:
When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.
Say, [tex]$ (x_1, y_1) $[/tex] is the point passing through the line and the slope of the line is say, [tex]m[/tex]. Then the equation would be:
[tex]$ (y - y_1) = m(x - x_1) $[/tex]
Here [tex]$ (x_1, y_1) = (7, -6) $[/tex] and slope, [tex]$ m = - 2 $[/tex].
Therefore, the equation of the line becomes:
[tex]$ y - (-6) = -2(x - 7) $[/tex]
[tex]$ \implies y + 6 = -2x + 14 $[/tex]
Rearranging we get:
[tex]$ 2x + y - 8 = 0 $[/tex] which is the required equation of the line.
