Step-by-step explanation:

The point-slope form of the equation of a line is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the given values, we have:

y - (-13) = 5(x - (-11))

Simplifying the right-hand side:

y + 13 = 5(x + 11)

Expanding:

y + 13 = 5x + 55

Subtracting 13 from both sides:

y = 5x + 42

Therefore, the equation of the line that passes through the point (-11, -13) with slope 5 is y = 5x + 42 in slope-intercept form.

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