4x + 5y = 20
Find the x- and y-intercepts of the equation. Write your answers as ordered pairs. Show your work.

x-intercept: (5, 0)

y-intercept: (0,4)

Step-by-step explanation:

The x- and y-intercepts of a function are the points that the line crosses the x- and y-axes.

We know that when the line is crossing the x-axis, the y-value has to be 0.

So let's use this, and the equation, to help us find the x-intercept.

Plug in 0 for y; this will help us find the x.

4x + 5(0) = 20

4x + 0 = 20

4x = 20

x = 5

Now we know that the line crosses the x-axis at x = 5. The intercept is (5, 0) because we already knew that y = 0.

We also know that when the line is crossing the y-axis, the x-value has to be 0.

So let's use this, and the equation, to help us find the y-intercept.

Plug in 0 for x; this will help us find the y.

4(0) + 5y = 20

0 + 5y = 20

5y = 20

y = 4

Now we know that the line crosses the y-axis at x = 4. The intercept is (0, 4) because we already knew that x = 0.

You can substitute these (5, 0) and (0, 4) back into the equation to make sure they fit, or graph the equation and make sure the points are correct.

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

step-by-step explanation:

in which figure is point g a centroid