Final answer:
The equation of a line in point-slope form that passes through the point (-2, 10) with a slope of -4 is y - 10 = -4(x + 2).
Step-by-step explanation:
To write the equation of a line in point-slope form that passes through the point (-2, 10) with a slope (m) of -4, you can use the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Substituting the given point and slope into the form, we have: y - 10 = -4(x - (-2)), which simplifies to y - 10 = -4(x + 2).
This equation now represents the line in point-slope form, showing how both the slope and a specific point on the line determine its shape and position