Question

Write the equation of the line in point-slope form that has a slope of 2/3 and a y-intercept of (0,-2)

y-2= 2/3 (x-0)
y-0= 2/3 (x-2)
y-0=2/3 (x+2)
y+2=2/3 (x-0)

Answer 1

where

m(Gradient or slope) =2/3

y1=-2

x1=0

Answer 2

y + 2 = 2/3(x - 0)

Explanation:

The general form of an equation of line with slope m, passing through point (x1, y1) is:

y - y1 = m(x - x1)

substituting values:

y - (-2) = 2/3(x - 0)

simplify

y + 2 = 2/3(x - 0)