White an equation in the form $$ y=m x+b $$ of the line that is described. The line has the same $$ y $$ intercept as the line whose equation is $$ 2 y=8-3 x $$ and is paralled to the line whose equation is $$ x+y=1 $$. The equation of the line is $$ y=\square $$ (Simplity your answer. Use integers or fractions for any numbers in the expression.)

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To find the equation of the line in the form $$ y = mx + b $$, we need to determine the slope $$ m $$ and the $$ y $$-intercept $$ b $$.

1. **Find the $$ y $$-intercept of the line $$ 2y = 8 - 3x $$**:
   - First, we can rewrite this equation in slope-intercept form $$ y = mx + b $$.
   - Divide both sides by 2:
     $$
     y = 4 - \frac{3}{2}x
     $$
   - From this, we can see that the $$ y $$-intercept $$ b $$ is 4.

2. **Find the slope of the line $$ x + y = 1 $$**:
   - Rewrite this equation in slope-intercept form:
     $$
     y = -x + 1
     $$
   - The slope $$ m $$ of this line is -1.

3. **Determine the equation of the new line**:
   - Since the new line is parallel to the line $$ x + y = 1 $$, it will have the same slope. Therefore, the slope $$ m $$ of the new line is also -1.
   - The $$ y $$-intercept $$ b $$ is 4 (from step 1).

4. **Write the equation of the new line**:
   - Using the slope and $$ y $$-intercept, we can write the equation:
     $$
     y = -1x + 4
     $$
   - This simplifies to:
     $$
     y = -x + 4
     $$

Thus, the equation of the line is:
$$
y = -x + 4
$$
y = -x + 4

White an equation in the form of the line that is described. The line has the same intercept as the line
whose equation is and is paralled to the line whose equation is .
The equation of the line is
(Simplity your answer. Use integers or fractions for any numbers in the expression.)

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White an equation in the form of the line that is described. The line has the same intercept as the line whose equation is and is paralled to the line whose equation is . The equation of the line is (Simplity your answer. Use integers or fractions for any numbers in the expression.)