Write an equation in ponit slope form of the line through the given ponit and with the given slope (5,1); m = 1/3 show your work

Answer 1

To write the equation in point-slope form, we use the formula:

y - y1 = m(x - x1)

Given point: (5,1) and slope: m = 1/3

Substitute x1 = 5, y1 = 1, and m = 1/3 into the formula:

y - 1 = (1/3)(x - 5)

Multiply out the right side:

y - 1 = (1/3)x - 5/3

Now, we have the equation in point-slope form:

y = (1/3)x - 5/3 + 1

Simplify:

y = (1/3)x - 5/3 + 3/3

y = (1/3)x - 2/3

Therefore, the equation of the line in point-slope form is y = (1/3)x - 2/3.