Question

find the x-intercept and y-intercept of the line.
3x - 8y = -10
x -intercept:

y -intercept:

Explanation:

Step1: Find x-intercept (set y=0)

Set \( y = 0 \) in \( 3x - 8y = -10 \).
\( 3x - 8(0) = -10 \)
\( 3x = -10 \)
\( x = \frac{-10}{3} \)

Step2: Find y-intercept (set x=0)

Set \( x = 0 \) in \( 3x - 8y = -10 \).
\( 3(0) - 8y = -10 \)
\( -8y = -10 \)
\( y = \frac{-10}{-8} = \frac{5}{4} \)

Answer:

x-intercept: \(\boldsymbol{-\frac{10}{3}}\)
y-intercept: \(\boldsymbol{\frac{5}{4}}\)