Answer:
k=-3
Step-by-step explanation:
The given equation of line is
[tex]y=kx+2[/tex]
We need to find the value of k if the above line passes through the point C(3,-7).
If a line passes through a point, then the equation of line must be satisfy by that point.
Substitute x=3 and y=-7 in the given equation.
[tex]-7=k(3)+2[/tex]
Add 2 on both sides.
[tex]-7-2=3k+2-2[/tex]
[tex]-9=3k[/tex]
Divide both sides by 3.
[tex]-3=k[/tex]
Therefore, the value of k is -3.
