May Mcguire
06/11/2023 · Elementary School
Find the \( y \)-intercept. Write your answer as a point \( (0, \#) \) \( 2 x-7 y=14 \) *
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the \( y \)-intercept of the equation \( 2x - 7y = 14 \), we need to set \( x = 0 \) and solve for \( y \).
Substituting \( x = 0 \) into the equation:
\[
2(0) - 7y = 14
\]
This simplifies to:
\[
-7y = 14
\]
Now, divide both sides by \(-7\):
\[
y = \frac{14}{-7} = -2
\]
Thus, the \( y \)-intercept is the point \( (0, -2) \).
So, the answer is:
\[
(0, -2)
\]
Quick Answer
\( (0, -2) \)
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