<p>The diagram shows the graph of $y=8-x$.  </p>
<p>The graph intersects the $x$-axis and $y$-axis at points $A$ and $B$ respectively.</p>
<figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1765871800920-x8q8ggsxsvk.png" style="max-width: 250px; height: auto; display: block;" class="aligncenter custom-width" /></figure>
<ol class="i-list"><li><div class="list-item-paragraph">Write down the coordinates of $A$ and $B$.</div></li><li><div class="list-item-paragraph">Calculate the length of the line segment $AB$.  </div></li><li><div class="list-item-paragraph">Calculate the area of triangle $AOB$.  </div><div class="list-item-paragraph">Hence, calculate the shortest distance from point $O$ to the line $AB$.</div></li></ol>

The diagram shows the graph of $y=8-x$.  

The graph intersects the $x$-axis and $y$-axis at points $A$ and $B$ respectively.

Write down the coordinates of $A$ and $B$.

Calculate the length of the line segment $AB$.  

Hence, calculate the shortest distance from point $O$ to the line $AB$.

Coordinate Geometry: Line Intercepts and Triangle Area

Coordinate Geometry: Line Intercepts and Triangle Area

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