Final answer:
The slope of the line given by the equation 3x + 11y - 5 = 0 is -3/11, and the y-intercept is 5/11. This corresponds to answer choice (a).
Step-by-step explanation:
To find the slope and y-intercept of the line given by the equation 3x + 11y - 5 = 0, we first need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
By rearranging the equation, we get:
11y = -3x + 5
Now, divide both sides by 11:
y = (-3/11)x + (5/11)
Here, the coefficient of x, which is -3/11, is the slope, and the constant term, 5/11, is the y-intercept.
Therefore, the correct answer is:
- Slope: -3/11
- Intercept: 5/11
This matches answer choice (a).