Answer:
y-intercept is (0, -4)
x-intercept is (-5, 0)
Step-by-step explanation:
Remember the x-intercept and the y-intercept are the points on the graph where the line crosses the x-axis and the y-axis respectively.
We can find the x intercept and the y intercept a couple of ways. One way is to graph the line, which I will do later. The other way is to do a little math.
The equation of a line in y-intercept form is
[tex]y = mx + b[/tex]
where b = the y-intercept
In our equation above and solving for y we get the y-intercept is -4
[tex]4x + 5y = - 20 \\ 5y = - 4x - 20 \\ y = - \frac{4}{5} x - 4[/tex]
Doing more algebra and solving for x we get the x intercept is negative 5.
[tex]y = - \frac{4}{5} - 4 \\ y + 4 = - \frac{4}{5} x \\ x = - \frac{5}{4} y - \frac{20}{4 } \\ x = - \frac{5}{4} y - 5[/tex]
