Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (−7,−4), perpendicular to y=12x+9

Answer 1

y=(-1/12)x + b

the slope of the perpendicular line is the negative inverse of 12

plug in the point to solve for b, the y intercept

-4 = (-1/12)(-7) + b

b = -4 - 7/12 = -55/12

y = -x/12 - 55/12

However, the original equation y=12x+9 is apparently a typo or misprint. It should have been

y=(1/2)x +9, then the perpendicular line will have slope =-2

and the equation is

y=-2x + b. plug in the point (-7,-4) to solve for b

-4 = -2(-7) + b

b = -18, which is the y intercept

the perpendicular equation is then

y=-2x-18