Answer:
[tex]\displaystyle\text{Slope: } -\frac{4}{3}[/tex]
Point (4,1)
Step-by-step explanation:
The Equation of the Line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
The given line is:
[tex]\displaystyle y-1=-\frac{4}{3}(x-4)[/tex]
If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:
Slope:
[tex]\mathbf{\displaystyle -\frac{4}{3}}[/tex]
Point (4,1)