Which equation represents a line that passes through (-9, -3) and has a slope of -6?
y - 9 = -6(x - 3)
y + 9 = -6(x + 3)
y - 3= -6(x - 9)
y + 3 = -6(x + 9)

Solution:

Given, point (-9, -3)

Slope, m = -6

We have to find the equation of the line passing through the point with slope of 3.

The equation of a line passing through the point and slope of m is given by

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

Now, \((y-(-3)) = -3(x-(-9))\\(y+3) = -6(x+9)\)

Therefore, the equation of the line is \((y+3) = -6(x+9)\)

Which equation represents a line that passes through (-9, -3) and has a slope of -6?

Summary:

The equation of a line that passes through (-9, -3) and has a slope of -6 is \((y+3) = -6(x+9)\).