Question
Find the distance from the point to the line using: (a) the formula $d=\left|m x_{0}+b-y_{0}\right| / \sqrt{1+m^{2}} ;$ and (b) the formula $d=\left|A x_{0}+B y_{0}+C\right| / \sqrt{A^{2}+B^{2}}$.$$(0,-3); 3 x-2 y=1$$
Step 1
The given equation is $3x - 2y = 1$. We can rearrange this to get $y = \frac{3}{2}x - \frac{1}{2}$. Show more…
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Find the distance from the point to the line using: (a) the formula $d=\left|m x_{0}+b-y_{0}\right| / \sqrt{1+m^{2}} ;$ and (b) the formula $d=\left|A x_{0}+B y_{0}+C\right| / \sqrt{A^{2}+B^{2}}$. $$(-2,-3); y=-4 x+1$$
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Find the distance from the point to the line using: (a) the formula $d=\left|m x_{0}+b-y_{0}\right| / \sqrt{1+m^{2}} ;$ and (b) the formula $d=\left|A x_{0}+B y_{0}+C\right| / \sqrt{A^{2}+B^{2}}$. $$(1,4); y=x-2$$
Find the distance from the point to the line using: (a) the formula $d=\left|m x_{0}+b-y_{0}\right| / \sqrt{1+m^{2}} ;$ and (b) the formula $d=\left|A x_{0}+B y_{0}+C\right| / \sqrt{A^{2}+B^{2}}$. $$(-3,5); 4 x+5 y+6=0$$
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