Respuesta :

Answer:

y  =  (3/4)*x - 14

Step-by-step explanation:

The slope-point general equation of the straight line is:

y  =  m*x  + b

In that equation,  m is the slope and b is the intercept with y-axis

The equation has two parameters to determine m and b. for a different pair of values we get just one unique straight line equation. To do that we need two conditions.

Here we have m = 3/4 and the point P ( 16 , -2), by substitution

y  =  (3/4)*x + b     and

- 2 = (3/4)*16 + b         - 2  = 3*4 +b            -2 = 12 +b    b  = -14

Then the final equation is:

y  =  (3/4)*x - 14