Question

Consider the equation 1.5x + 4.5y = 18.
Where does the graph intersect the y-axis?

Answer 1

To find where the graph intersects the y-axis, we can set \(x = 0\) and solve for \(y\).

Given the equation: \(1.5x + 4.5y = 18\)

Plug in \(x = 0\):

\(1.5(0) + 4.5y = 18\)

Simplify:

\(0 + 4.5y = 18\)

\(4.5y = 18\)

Divide both sides by 4.5:

\(y = 4\)

So, the graph intersects the y-axis at the point (0, 4).

Explanation: