Problem

slope is 4,(1,2) is on the line

Answer

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Answer

Final Answer: The equation of the line is \(\boxed{y = 4x - 2}\).

Steps

Step 1 :Given the slope (m) is 4 and a point (x, y) on the line is (1, 2).

Step 2 :The general form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Step 3 :Substitute these values into the equation to solve for b: 2 = 4*1 + b.

Step 4 :Solving for b, we get b = -2.

Step 5 :Substitute m = 4 and b = -2 into the equation y = mx + b.

Step 6 :Final Answer: The equation of the line is \(\boxed{y = 4x - 2}\).

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