How do i write a linear equation in slope intercept from for the following situation, through: - 1,-1, perpendicular to y=-2/3x 4?

Hello:

the equation is : y = ax+b

the slope is a : a * (-2/3) = - 1 ... (perpendicular to a line : y = (-2/3) x+4 with a slope of - 2/3)

a = 3/2 y = (3/2) x+b

the line that passes through (-1, - 1) : - 1 = (3/2) (-1) + b

b = 1/2

the equation is : y = (3/2) x+1/2