10 points !

a line passes through the point (8, 2) and has a slope of -3/2 write an equation in slope-intercept form for this line.

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - , thus

y = - x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = - x + 14 ← equation in point- slope form