Math problem pls help

Question

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the following equation

Point: (1,1)

Equation: 3x+2y=-7

Answer 1

3x + 2y = -7

2y = -3x - 7

y = (-3/2)x - 7/2

m = -3/2, and perpendicular lines have opposite, reciprocal slopes. We can solve two ways.

1. Use the point-slope formula.

y - y₁ = m(x - x₁)

y - 1 = (2/3)(x - 1)

y - 1 = (2/3)x - 2/3

y = (2/3)x + 1/3

2. Plug in our point and solve for b.

y = mx + b

1 = (2/3)1 + b

1 = 2/3 + b

b = 1/3

y = (2/3)x + 1/3