Write an equation in point slope form y-y1=m(x-x1) for a line containing the point (1,2) and has a slope of 3 Can someone explain how to do this problem. I'm having trouble with this.
P(1, 2). Slope = 3.
(1, 2), (x, y).
m = (y-2)/(x-1) = 3.
(y-2) = 3(x-1).
Can Someone give a more detailed explanation
Of course! I'd be happy to help you with this problem. To write an equation in point-slope form, we need two pieces of information: a point on the line and the slope of the line.
The point given in the problem is (1,2), representing the coordinates (x1, y1). The slope given is 3, represented as m.
To substitute these values into the point-slope form equation (y - y1) = m(x - x1), we can replace y1 with 2, m with 3, and x1 with 1:
(y - 2) = 3(x - 1)
This is the equation in point-slope form for a line that passes through the point (1,2) and has a slope of 3.