Answer: f(x) = –3x + 14
Explanation:
The point slope form of an equation is expressed as
y - y1 = m(x - x1)
The given equation is
y + 1 = –3(x – 5)
Comparing with the point slope equation,
y1 = - 1
Slope, m = - 3
x1 = 5
The equation of a straight line can also take the slope intercept form,
y = mx + c
Where
m is the slope(change in y /change in x)
c represents the intercept.
We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes
- 1 = - 3 × 5 + c
- 1 = -15 + c
c = - 1 + 15 = 14
The equation becomes
y = -3x + 14