Answer:
y = (3/4)*x - 14
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