What is the equation of the line between $(- 9, 16)$ $(-9,16)$ and $(- 4, 12)$ $(-4,12)$ ?

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What is the equation of the line between $(- 9, 16)$ $(-9,16)$ and $(- 4, 12)$ $(-4,12)$ ?

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Answer 1 · 2018-04-16T01:21:52

$(- 9, 16)$ $(-9,16)$ and $(- 4, 12)$ $(-4,12)$

Let's use the point-slope formula

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $(y_2-y_1)/(x_2-x_1)$

$\frac{12 - 16}{- 4 - - 9}$ $(12-16)/(-4--9)$

$\frac{- 4}{5}$ $(color(green)(-4))/color(blue)(5$

Now we have the slope for point-slope form, which is $y = m x + b$ $y =mx+b$ with $m$ $m$ being the slope and $b$ $b$ as the $y$ $y$ -intercept, the value of $x$ $x$ when $y = 0$ $y=0$

Let's guess:

$y = - \frac{4}{5} x + 5$ $y=-4/5x+5$
graph{y=-4/5x+5}

Were looking for $(- 4, 12)$ $(-4, 12)$

Nope, not quite

$y = - \frac{4}{5} x + 5.2$ $y=-4/5x+5.2$
graph{y=-4/5x+5.2}

Almost

$y = - \frac{4}{5} x + 7.8$ $y=-4/5x+7.8$
graph{y=-4/5x+7.8}

We're so close

$y = - \frac{4}{5} x + 8.8$ $y=-4/5x+8.8$
graph{y=-4/5x+8.8}

Great! We have our equation!

$y = - \frac{4}{5} x + 8.8$ $y=-4/5x+8.8$

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What is the equation of the line between $(- 9, 16)$ $(-9,16)$ and $(- 4, 12)$ $(-4,12)$ ?

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What is the equation of the line between (−9,16)(-9,16) and (−4,12)(-4,12)?

1 Answer

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What is the equation of the line between $(- 9, 16)$ $(-9,16)$ and $(- 4, 12)$ $(-4,12)$ ?