Graph the equation $$ 5 y-4 x=-20 $$ and identify the y-intercept. To graph a linear equation, two points are essential to determine a straight line. In this case, use the two points determined by the first and third rows of the table above. The remaining point, (5,0), can be used as a check. Use the graphing tool to graph the line using two points.

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1. Begin with the given equation:
   $$
   5y - 4x = -20
   $$

2. Solve for $$y$$ to put the equation in slope-intercept form. Add $$4x$$ to both sides:
   $$
   5y = 4x - 20
   $$
   
   Then divide both sides by 5:
   $$
   y = \frac{4}{5}x - 4
   $$

3. The equation is now in the form $$y = mx + b$$, where the y-intercept is the point:
   $$
   (0, -4)
   $$

4. Pick two points from the table for graphing. Using the first row, when $$x = 0$$:
   $$
   y = \frac{4}{5}(0) - 4 = -4
   $$
   This gives the point $$(0, -4)$$.

5. Using the third row of the table, choose a value that is not $$(5,0)$$ (which is reserved as a check). For example, let $$x = -5$$:
   $$
   y = \frac{4}{5}(-5) - 4 = -4 - 4 = -8
   $$
   This gives the point $$(-5, -8)$$.

6. Plot the two points $$(0, -4)$$ and $$(-5, -8)$$ on the coordinate plane, then draw the straight line through these points.

7. As a check, verify that the point $$(5,0)$$ lies on the line. Substitute $$x = 5$$ into the equation:
   $$
   y = \frac{4}{5}(5) - 4 = 4 - 4 = 0
   $$
   Since the calculation gives $$y = 0$$, the point $$(5, 0)$$ is indeed on the line.

The y-intercept of the graph is $$(0, -4)$$.
To graph the equation $$5y - 4x = -20$$, first solve for $$y$$ to get $$y = \frac{4}{5}x - 4$$. The y-intercept is at $$(0, -4)$$. Plot the points $$(0, -4)$$ and $$(-5, -8)$$, then draw a straight line through them. The y-intercept is $$(0, -4)$$.

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