Final answer:
The equation of the line with a slope of 3 passing through the point (2, 5) in point-slope form is y = 3x - 1.
Step-by-step explanation:
The equation of a line in point-slope form is given by y - y1 = m(x -x1), where m is the slope of the line and (x1, y1) is a point on the line.
In this case, the slope is 3 and the point given is (2, 5).
Substituting these values into the point-slope form equation, we get y - 5 = 3(x - 2).
This can be simplified to: y - 5 = 3x - 6.
Adding 5 to both sides of the equation, we have y = 3x - 1.
Therefore, the equation of the line in point-slope form is y = 3x - 1.
completed question:
A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point -slope form.