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help

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Find the equation of the line passing through (2,-11) that is parallel to the line 4x + 3y = 7.

May 6, 2020

#1
+50
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we find the slope of the line:

\begin{align*} 4x+3y&=7\\ 3y&=-4x+7\\ y&=-\frac{4}{3}x+7 \end{align*}

and plug in the $$x$$ and $$y$$ of $$(2, -11)$$ to find the $$y$$-intercept:

\begin{align*} y &= -\frac{4}{3}x + b \\ -11 &= -\frac{4}{3}(2)+b \\ -11 &= -\frac{8}{3} + b \\ b &= -\frac{25}{3} \end{align*}

and plug in the slope for

$$\boxed{y=-\frac{4}{3}x-\frac{25}{3}}.$$

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May 6, 2020
#2
+657
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Nice Chrissy!

LuckyDucky  May 6, 2020