Schultz Elliott
08/09/2024 · Junior High School
Find the \( x \)-intercept and \( y \)-intercept of the line. \[ x-2 y=-8 \]
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the \( x \)-intercept and \( y \)-intercept of the line given by the equation
\[
x - 2y = -8,
\]
we can follow these steps:
### Finding the \( x \)-intercept
The \( x \)-intercept occurs when \( y = 0 \). We can substitute \( y = 0 \) into the equation:
\[
x - 2(0) = -8.
\]
This simplifies to:
\[
x = -8.
\]
Thus, the \( x \)-intercept is
\[
(-8, 0).
\]
### Finding the \( y \)-intercept
The \( y \)-intercept occurs when \( x = 0 \). We can substitute \( x = 0 \) into the equation:
\[
0 - 2y = -8.
\]
This simplifies to:
\[
-2y = -8.
\]
Dividing both sides by -2 gives:
\[
y = 4.
\]
Thus, the \( y \)-intercept is
\[
(0, 4).
\]
### Summary
The \( x \)-intercept is \((-8, 0)\) and the \( y \)-intercept is \((0, 4)\).
Quick Answer
The \( x \)-intercept is \((-8, 0)\) and the \( y \)-intercept is \((0, 4)\).
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