Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y=4/3x +6

equation : y = -3x/4 - 4

Step-by-step explanation:

y = 4/3 × x + 6

y = mx + b

m(slope) = 4/3

Now,

slope of (-4,-1) = -3/4 (slopes of perpendicular lines are negative proportionals)

Now,

y=mx+b

or, -1 = -3/4 × -4 + b

or, -1 = 3 + b

so, b = -4

Now,

y = mx+b

or, y = -3/4 × x -4

or, y = -3x/4 - 4

step-by-step explanation: