We need to find the linear function represents the line given by the point-slope equation.
Given options:
y + 7 = –(x + 6).
f(x) = –2/3x – 11.
f(x) = –2/3x – 1.
f(x) = –2/3x + 3.
f(x) = –2/3x + 13.
Point -slope form of the linear equation is in the form y-y1 = m(x - x1).
Where (x1, y1) is given point and m is the slope.
In the given options we have first option y + 7 = –(x + 6).
And it could be written as y-(-7) = -1(x-(-6))
We can see point (x1,y1) = (-7,-6) and slope m= -1.
<h3>Therefore, first option y + 7 = –(x + 6) is correct option.</h3>
