Question
If the line for the equation 14x + 7y = -35 is plotted on a Cartesian graph, where does the line intersect the y-axis?
Answers
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Answered by
GPT-4o mini
To find where the line intersects the y-axis, we need to determine the value of \( y \) when \( x = 0 \).
We start with the equation of the line:
\[
14x + 7y = -35
\]
Substituting \( x = 0 \) into the equation, we get:
\[
14(0) + 7y = -35
\]
This simplifies to:
\[
7y = -35
\]
Now, we divide both sides by 7:
\[
y = -5
\]
Thus, the line intersects the y-axis at the point \((0, -5)\).
We start with the equation of the line:
\[
14x + 7y = -35
\]
Substituting \( x = 0 \) into the equation, we get:
\[
14(0) + 7y = -35
\]
This simplifies to:
\[
7y = -35
\]
Now, we divide both sides by 7:
\[
y = -5
\]
Thus, the line intersects the y-axis at the point \((0, -5)\).
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