Find the $$ x $$-intercept and $$ y $$-intercept of the line. $$ 5 x-2 y=10 $$

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UpStudy AI · Accepted Answer

**Step 1. Find the $$x$$-intercept**  
The $$x$$-intercept occurs when $$y=0$$. Substitute $$y=0$$ into the equation:
$$
5x-2(0)=10
$$
This simplifies to:
$$
5x=10
$$
Solve for $$x$$:
$$
x=\frac{10}{5}=2
$$
Thus, the $$x$$-intercept is $$(2,0)$$.

**Step 2. Find the $$y$$-intercept**  
The $$y$$-intercept occurs when $$x=0$$. Substitute $$x=0$$ into the equation:
$$
5(0)-2y=10
$$
This simplifies to:
$$
-2y=10
$$
Solve for $$y$$:
$$
y=\frac{10}{-2}=-5
$$
Thus, the $$y$$-intercept is $$(0,-5)$$.
The $$x$$-intercept is $$(2,0)$$ and the $$y$$-intercept is $$(0,-5)$$.

Find the \( x \)-intercept and \( y \)-intercept of the line. \[ 5 x-2 y=10 \]

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