What are the x and y-intercepts for this function? desmos to help you identify them. 3x + 9y = 9

Question

asked Jan 4, 2023 21.1k views

1 Answer

Chris Mukherjee · Answer 1 · 2023-01-08T22:38:14+0000

We have the expression

We can find the intercepts using the equation, and then check them graphically.

The y-intercept happens when x=0, because that is the definition of the y-axis.

Then, replacing x with 0 in the equation, gives us the value of the y-intercept:

$\begin{gathered} 3\cdot0+9y=9 \\ y=(9)/(9)=1 \end{gathered}$

The y-intercept is y=1.

For the x-intercept, we have y=0. We repeat the procedure and get:

$\begin{gathered} 3x+9\cdot0=9 \\ x=(9)/(3)=3 \end{gathered}$

The x-intercept is x=3.

We can check it with the graph:

We have there the x and y intercepts (x=3 and y=1).