Because point C with coordinates (3; 7) belong to the graph of the function y = kx + 2, then when the coordinates are substituted into the equation of the function, the correct equality should be obtained:
7 = 3k + 2.
Let’s solve the equation:
3k + 2 = 7;
3k = 7 – 2;
3k = 5;
k = 5/3.
Substitute the resulting value into the equation of the straight line:
y = 5/3 x + 2.
Answer: coefficient k = 5/3; y = 5/3 x + 2.
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