Answer:
r=-3
Step-by-step explanation:
[tex] m=\frac{y_2-y_1}{x_2-x_1}[/tex] -----(A)
Here we are given that
[tex] (x_1,y_1) = (2,r) [/tex]
[tex] (x_2,y_2) = (-5,11) [/tex]
And the value of m is -2
Replacing them in (A)
[tex] -2=\frac{11-r}{-5-2}[/tex]
[tex] -2=\frac{11-r}{-7}[/tex]
[tex] -7 \times -2=11-r[/tex]
[tex] 14=11-r[/tex]
[tex] r=11-14[/tex]
[tex] r=-3[/tex]
Hence the value of r is -3 and the coordinate is(2,-3)
