Question

I WILL GIVE BRAINLEST!!! (6 points!)

Answer 1

Answer:

OPTION A: 2x + 3y = 5

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1.

We rewrite the given equation as follows:

2y = 3x + 2

⇒ y = $\frac{3}{2}x + 1$

The general equation of the line is: y = mx + c, where 'm' is the slope of the line.

Here, m = $\frac{3}{2}$.

Therefore, the slope of the line perpendicular to the line given = $\frac{-2}{3}$ because $\frac{3}{2} \times \frac{-2}{3} = -1$.

To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:

                                  y - y₁ = m(x - x₁)

The point is: (x₁, y₁) = (-2, 3)

Therefore, the equation is:

y - 3 = $\frac{-2}{3}$(x + 2) $

⇒ 3y - 9 = -2(x + 2)

⇒ 3y - 9 = -2x - 4

⇒ 2x + 3y = 5 is the required equation.

Answer 2

Answer:

The first one is the right one.

2x+3y=5

Step-by-step explanation: