Answer:
r = 4
Step-by-step explanation:
If we clearly observe a point and the slope of the line are given.
Point=(5, -6) slope= -5
We know that the equation of the line having slope m and passing through point ([tex]x_{1} , y_{1}[/tex]) is
[tex]y-y_{1}=m(x-x_{1})[/tex]
Now the equation of the line is [tex]y-(-6)=(-5)*(x-5)[/tex]
[tex]y+6=-5x+25[/tex]
[tex]5x+y=19[/tex]
Now given that (3,r) lies on this line
[tex]5*3+r=19[/tex]
r = 4
