The line of the graph y= kx +4 goes through the point (2,-2) is given by
y = -3x +4.
As given in the question,
Equation of the line is given by y = kx + 4
Passing through the point (2, -2)
Substitute the value in equation we get,
-2= k(2) + 4
⇒2k = -2 -4
⇒k =-6 /2
⇒k =-3
Equation of the line y= -3x + 4 sketched on graph passing through (2,-2).
Therefore, the line of the graph y = kx +4 goes through the point (2,-2) is given by y = -3x +4.
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