Final answer:
The equation of the line is y + 14 = 11(x + 11)
Step-by-step explanation:
The equation of a line that passes through the point (-11, -14) with a slope of 11 can be found using the point-slope form. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope.
Using the given point (-11, -14) and the slope of 11, we can substitute these values into the point-slope form equation. Plugging in the values, we get y - (-14) = 11(x - (-11)). Simplifying the equation, we have y + 14 = 11(x + 11).
Therefore, the equation of the line that passes through the point (-11, -14) with a slope of 11 using the point-slope form is y + 14 = 11(x + 11).