Write a slopeintercept equation for a line with the given ch

Write a slope-intercept equation for a line with the given characteristics.

Passes through (2,-9) and (0,6)

y=-15/2x+6

y=15/2x+6

y=11/6x+6

y=-11/6x+6

passing through (2 , -9) and (0 , 6)

==> slope m = (6 - (-9))/(0 -2) = -15/2

equation of line with slope -15/2 and passing through (0 ,6) is

y - 6 = (-15/2)(x -0)

==> y = -15x/2 +6