Question

4

Answer 1

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

$y = mx + b$

where b = the y-intercept

In our equation above and solving for y we get the y-intercept is -4

$4x + 5y = - 20 \\ 5y = - 4x - 20 \\ y = - \frac{4}{5} x - 4$

Doing more algebra and solving for x we get the x intercept is negative 5.

$y = - \frac{4}{5} - 4 \\ y + 4 = - \frac{4}{5} x \\ x = - \frac{5}{4} y - \frac{20}{4 } \\ x = - \frac{5}{4} y - 5$