Question

Find the value of k if it is known that the line y=kx+2 goes through point:
b
C(3, −7)

Answer 1

you simply substitute the coordinates into the given equation

so
-7 = 3k + 2

then solve from there
-9 = 3k

-3 = k

Answer 2

k=-3

Explanation:

The given equation of line is

`y=kx+2`

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.

`-7=k(3)+2`

Add 2 on both sides.

`-7-2=3k+2-2`

`-9=3k`

Divide both sides by 3.

`-3=k`

Therefore, the value of k is -3.