Question

4x + 5y = 20

Answer 1

Answer:

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.