Answer:
The graph is shown below.
Step-by-step explanation:
Given:
Equation of a line is [tex]y+1=-\frac{3}{5}(x-4)[/tex]
The equation of a line with a point [tex](x_{1},y_{1})[/tex] and slope [tex]m[/tex] is given as:
[tex]y-y_{1}=m(x-x_{1})[/tex]
On comparing the given equation with the standard form, we get
[tex]x_{1}=4,y_{1}=-1,m=-\frac{3}{5}[/tex]
Now, we first plot the point [tex](4,-1)[/tex].
Slope is [tex]-\frac{3}{5}[/tex]. This means that we have to move 3 units down and 5 units right to get the slope as negative. We mark the second point there.
Now, we plot a line joining both the points. Thus, the graph is drawn.
