Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

To find the y-intercept of the line given by the equation \(5x - 4y = 20\), it is necessary to determine the value of \(y\) when \(x = 0\).

Start by substituting \(0\) for \(x\) in the equation:

\[5(0) - 4y = 20\]

This simplifies to:

\[-4y = 20\]

Next, divide both sides by \(-4\) to isolate \(y\):

\[y = \frac{20}{-4}\]

This yields:

\[y = -5\]

Therefore, the y-intercept of the line, which is the point where the line intersects the y-axis, is \(-5\). This indicates that when plotting the line, the point at which it crosses the y-axis is at the coordinate \((0, -5)\).