Question

The equation 10x + 3y = 90 is in standard form. This form tells us the x and y- intercepts easily. What are the x and y- intercepts?

The x - intercepts is (3,0) and the y- intercepts is at (0, 10).
The x- intercepts is (1/9,0) and they- intercept is at (0,1/30).
The x- intercept is (9,0) and the y-intercept is at (0, 30)
The x-intercept is (10,0) and the y-intercepts is at (0,3)

Answer 1

To find the x and y intercepts of the equation \(10x + 3y = 90\), we can follow these steps:

1. **Find the x-intercept**: Set \(y = 0\) and solve for \(x\):
\[
10x + 3(0) = 90 \\
10x = 90 \\
x = 9
\]
So, the x-intercept is \((9, 0)\).

2. **Find the y-intercept**: Set \(x = 0\) and solve for \(y\):
\[
10(0) + 3y = 90 \\
3y = 90 \\
y = 30
\]
So, the y-intercept is \((0, 30)\).

Therefore, the correct answer is: **The x-intercept is (9, 0) and the y-intercept is (0, 30)**.