Question

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?f(x) = –2/3x – 11f(x) = –2/3x – 1f(x) = –2/3x + 3f(x) = –2/3x + 13

Answer 1

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.

Therefore, first option  y + 7 = –(x + 6) is correct option.