Answer:
the slope of the line is -1/4 and the y-intercept is -3/8.
Explanation:
1. Start with the given equation: 2x + 8y = -3.
2. Subtract 2x from both sides to isolate the y-term: 8y = -2x - 3.
3. Divide both sides by 8 to solve for y: y = (-2/8)x - 3/8.
4. Simplify the fraction -2/8 to -1/4: y = (-1/4)x - 3/8.
Now we can identify the slope and y-intercept:
The slope, represented by m, is the coefficient of x in the equation. In this case, the slope is -1/4.
The y-intercept, represented by b, is the constant term in the equation. In this case, the y-intercept is -3/8.
Therefore, the slope of the line is -1/4 and the y-intercept is -3/8.