Answer:
y - 4 = 5/6(x + 3)
Explanation:
The general equation for the point-slope form is given by:
y - y1 = m(x - x1), where
- m is the slope,
- and (x1, y1) is one point on the line.
Since the line passes through the point (-3, 4) and has a slope of 5/6, we can find the equation of the line in point-slope form by substituting (-3, 4) for (x1, y1) and 5/6 for m in the point-slope equation:
y - 4 = 5/6(x - (-3))
y - 4 = 5/6(x + 3)
Thus, y - 4 = 5/6(x + 3) is the equation of the line in point-slope form passing through the point (-3, 4) and having a slope of 5/6.