The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Given that the slope of the line is - 3/2, we would dertermine the y intercept, c by substituting m = - 3/2, x = - 10 and y = 6 into the slope intercept equation. It becomes
6 = - 3/2 * - 10 + c
6 = 15 + c
c = 6 - 15
c = - 9
Substituting these values into the slope intercept equation, the equation of the line becomes
y = - 3x/2 - 9
