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

f(x) = -2/3x - 11

f(x) = -2/3x - 1

f(x) = -2/3x + 3

f(x) = -2/3x + 13

**Solution:**

Point slope form is used to represent a straight line using its slope and a point on the line. It means that the equation of a line whose slope is 'm' and which passes through a point (x_{1}, y_{1}) is found using the point-slope form.

y - y_{1} = m (x - x_{1})

where, (x, y) is a random point on the line and m is the slope of the line.

The given point-slope equation is

y + 7 = -2/3(x + 6)

By further calculation

y + 7 = -2/3 x - 4

y = -2/3 x - 4 - 7

y = -2/3 x - 11

This is of the form y = mx +b

Therefore, the linear function which represents the line is y = -2/3 x - 11.

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

f(x) = -2/3x - 11

f(x) = -2/3x - 1

f(x) = -2/3x + 3

f(x) = -2/3x + 13

**Summary:**

The linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6) is y = -2/3 x - 11.

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