Answer:
x-intercept: (5, 0)
y-intercept: (0,4)
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.