Respuesta :

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)