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?

Question

The x-intercept is (9,0) and the y-intercept is at (0,30).

The x-intercept is (3,0) and the y-intercept is at (0,10).

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

The x-intercept is (10,0) and the y-intercept 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. To find the x-intercept, set \(y = 0\) and solve for \(x\): \[ 10x + 3(0) = 90 \implies 10x = 90 \implies x = \frac{90}{10} = 9 \] So, the x-intercept is \((9, 0)\).

2. To find the y-intercept, set \(x = 0\) and solve for \(y\): \[ 10(0) + 3y = 90 \implies 3y = 90 \implies y = \frac{90}{3} = 30 \] So, the y-intercept is \((0, 30)\).

Thus, the correct x and y-intercepts are:

• The x-intercept is \((9, 0)\)
• The y-intercept is \((0, 30)\)

So, the first option you provided is correct.