Problem

slope is -2 , and (4,3) is on the line

Answer

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Answer

The equation of the line is \(\boxed{y = -2x + 11}\).

Steps

Step 1 ：Given the slope of the line is -2 and a point on the line is (4,3).

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 the given point into this equation to solve for b: \(3 = -2*4 + b\)

Step 4 ：Solving for b, we get \(b = 11\).

Step 5 ：Now that we have the y-intercept, we can write the equation of the line in the form \(y = mx + b\).

Step 6 ：The equation of the line is \(\boxed{y = -2x + 11}\).

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