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 $x$: $$10x+3(0)=90⟹10x=90⟹x=\frac{90}{10}=9$$ So, the x-intercept is $(9,0)$.

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