EQUATION: Find the equation of the line using the given information. Type the answer in slope-intercept form without any spaces between the letters, numbers, or symbols.

Question

Find the equation of the line perpendicular to y = 2x + 6 and passing through (4, 5).

Answer 1

perp to y =2x +6 through (4,5) has inverse negative slope = -1/2 =-.5

y =-.5x +b is most of the equation, plug the point in to find b

5 = -(.5)(4) + b

5 = -2 +b

b = 7

perpendicular line's equation is y =-x/2 +7 in slope intercept form