Question

9y + 2x = 2(9 + x) step 1 of 2: find the x - and y - intercepts, if possible. answer 2 points selecting a button will replace the entered answer value(s) with the button value. if the button is not selected, the entered answer is used. keypad keyboard shortcuts x - intercept: (, ) ○ absent y - intercept: (, ) ○ absent

Explanation:

Step1: Simplify the given equation

First, expand and simplify the right-hand side:
$$9y + 2x = 2(9 + x)$$
$$9y + 2x = 18 + 2x$$
Subtract $2x$ from both sides:
$$9y = 18$$
$$y = 2$$

Step2: Find x-intercept

The x-intercept occurs where $y=0$. Substitute $y=0$ into $y=2$:
$0=2$ is a false statement, so there is no x-intercept.

Step3: Find y-intercept

The y-intercept occurs where $x=0$. For $y=2$, the value of y is always 2, regardless of x. So the y-intercept is at $(0, 2)$.

Answer:

x-intercept: absent
y-intercept: $(0, 2)$