write down each step of the procedure you used, using the slope-intercept method. For the following equation: 4x + 6y = 48

4x + 8y = 48.

1. Solve for y:
6y = -4x + 48,
2. Divide both sides nby 6:
Y = (-2/3)x + 8.

To find the equation of a line using the slope-intercept method, which is in the form y = mx + b, we need to follow these steps:

Step 1: Write down the equation in the standard form, which is Ax + By = C
For the given equation, 4x + 6y = 48, it is already in standard form.

Step 2: Solve for y to get it in terms of x.
Rearrange the equation by isolating the term containing y:
6y = -4x + 48
Divide every term by 6:
y = (-4/6)x + 48/6

Step 3: Simplify the expression.
The fraction -4/6 can be simplified further. Both the numerator and denominator are divisible by 2:
y = (-2/3)x + 8

Step 4: Identify the slope and y-intercept.
In the equation y = mx + b, m represents the slope, and b represents the y-intercept.
From the simplified equation, the slope is -2/3, and the y-intercept is 8.

Thus, the equation of the line in slope-intercept form for the given equation is y = (-2/3)x + 8.