In order to convert this equation to Slope-Intercept Form, you must first isolate y.

What is the first step in isolating y?

3x+2y=4


Use Division Property of Equality to divide the equation by 3.

Use Addition Property of Equality to add 2y to both sides of the equation.

Use the Subtraction Property of Equality to subtract 3x from both sides of the equation.

Use Subtraction Property of Equality to subtract 4 from both sides of the equation.

Respuesta :

Answer:

use the subtraction property of equality to subtract 3x from both sides of the equation

Step-by-step explanation:

y is on the left so move everything else to the right side

According to the Subtraction Property, both sides of an equation remain equal following a subtracting of the same amount from both sides of the equation

The first step in isolating y in the equation 3·x + 2·y = 4 is the option;

  • Use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation

Reason:

The slope and intercept form of the straight line equation is the the equation in the form y = m·x + c

Where;

m = The slope of the equation

c = The y-intercept

The given equation is 3·x + 2·y = 4

To isolate y, the terms containing y, are placed on one side of the equation, while the other terms are placed on the other side as follows;

First step;  3·x + 2·y - 3·x = 4 - 3·x (Subtraction property of equality)

Second step; 2·y = 4 - 3·x

Third step; [tex]\dfrac{2 \cdot y}{2} = \dfrac{4 - 3 \cdot x}{2}[/tex] →  y = 2 - 1.5·x (Division property of equality)

y = 2 - 1.5·x = -1.5·x - 2

y = -1.5·x - 2 Equation in slope and intercept form

Therefore, the first step is use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation

Learn more here:

https://brainly.com/question/1658463

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE