Final answer:
To write the equation of the line that passes through the point (-13, -12) with slope 19/12, the point-slope form is used, resulting in y + 12 = (19/12)(x + 13).
Step-by-step explanation:
The student has asked to use the point-slope form to write the equation of a line that passes through the point (-13, -12) with slope 19/12.
The point-slope form of a line is expressed as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the given point and slope, we have y - (-12) = (19/12)(x - (-13)), which simplifies to y + 12 = (19/12)(x + 13). This is the equation of the desired line in point-slope form.