If the line for the equation 14x + 7y = -35 is plotted on a Cartesian graph, where does the line intersect the y-axis?

Answer 1

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 \((0, -5)\).