Y-y1=m(x-x1)
y-5=1/6(x-8)
y-5=1/6x-4/3
-1/6x+y=11/3
multiply both sides by -6
x-6y=-22
<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>−<span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)</span></span>
So first
Distribute the Negative Sign:
<span>=<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>+<span><span>−1</span><span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>−1</span><span>(<span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4</span></span><span>=<span><span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4
</span></span>
Then after all of that
Combine Like Terms:<span>=<span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+<span>−5</span></span>+<span><span>8a</span>b</span></span>+4
</span></span><span>=<span><span><span>(<span><span>−<span>ab</span></span>+<span><span>8a</span>b</span></span>)</span>+<span>(<span>8a</span>)</span></span>+<span>(<span><span>−5</span>+4</span>)
So now your answer is </span></span></span><span>=<span><span><span><span>7a</span>b</span>+<span>8a</span></span>+<span>−<span>1</span></span></span></span>
Step-by-step explanation:
slope = 2-4/2-1 = -2
y - 2 = -2(x - 2)
y-2 = -2x +4
y = -2x + 6
