Question

A line passes through (-2, 5) and the slope 1/3

what is an equation of the line in point slope form?
a) y+2= 1/3 (x-5)
b) y+5= 1/3 (x-2)
c) y-5= 1/3 (x+5)
d) y-2= 3 (x+5)​

Answer 1

`y - 5 = (1)/(3)(x+2)`

Explanation:

Point-slope form: y- y1 = m(x - x1)

Given:

Slope(m) =
`(1)/(3)`

Point(x1, y1): (-2, 5)

To write the equation in point-slope form, input the given values of the point and slope into the equation format:

y - y1 = m(x - x1)

`y - 5 = (1)/(3) (x-(-2))`

`y - 5 = (1)/(3) (x+2)`

The equation in point slope form is:
`y - 5 = (1)/(3) (x+2)`