White the polin-slope form of the lline that passes through \( (6,1) \) and is paraliel to a line with a slope of - 3 . Include all of your work in your flinal answer. Type your answer In the box provided to submit your solution.

To find the equation of a line in point-slope form that passes through the point (6,1) and is parallel to a line with a slope of -3, follow these steps: Step 1: Identify the given information. - The point the line passes through is (6,1). - The slope of the line is -3. Step 2: Use the point-slope form of a linear equation. The point-slope form of a linear equation is given by: y - y1 = m(x - x1) where (x1, y1) is a point on the line and m is the slope of the line. Step 3: Substitute the given values into the point-slope form. Substitute the point (6,1) and the slope -3 into the point-slope form: y - 1 = -3(x - 6) Step 4: Simplify the equation. Distribute the -3 to the terms inside the parentheses: y - 1 = -3x + 18 Step 5: Finalize the equation. Add 1 to both sides of the equation to isolate y: y = -3x + 18 + 1 y = -3x + 19 So, the equation of the line in point-slope form that passes through the point (6,1) and is parallel to a line with a slope of -3 is: y = -3x + 19