Question

find the x- and y-intercepts of the line $y = -\frac{6}{11}x$. write your answers as integers or as simplified proper or improper fractions, not as ordered pairs. x-intercept: y-intercept:

Explanation:

Step1: Find x-intercept

To find the x-intercept, set \( y = 0 \) in the equation \( y = -\frac{6}{11}x \).
So, \( 0 = -\frac{6}{11}x \).
Multiply both sides by \( -\frac{11}{6} \) (the reciprocal of \( -\frac{6}{11} \)) to solve for \( x \).
\( x = 0 \times (-\frac{11}{6}) = 0 \).

Step2: Find y-intercept

To find the y-intercept, set \( x = 0 \) in the equation \( y = -\frac{6}{11}x \).
Substitute \( x = 0 \) into the equation: \( y = -\frac{6}{11} \times 0 = 0 \).

Answer:

x-intercept: \( 0 \)
y-intercept: \( 0 \)