Write an equation of the line that passes through the point (3,1) and is perpendicular to y= 3/2x +1

Chico

Step-by-step explanation:

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Step 1) Find the slope of the given line, y = (1/2)x - 1.  Hint.  The given line is the slope-intercept form y = mx + b.

Step 2) The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line.

slope of perpendicular line = - 1/m

Step 3) Use the slope found in step 2 and the given point (1, 3) to write the equation of the line.  Use the point-slope form y - y0 = m(x - x0) where (x0, y0) is the given point.  Solve for y

Step-by-step explanation: