Question

Find the slope and intercept of the line 3x + 11y - 5 = 0.

a) Slope: -3/11, Intercept: 5/11
b) Slope: 11/3, Intercept: -5/11
c) Slope: -11/3, Intercept: 5/11
d) Slope: 3/11, Intercept: -5/11

Answer 1

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).