write the equation of the line, with the given properties, in slope-intercept form. slope = -5, through (-4,4)

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

Answer: y=-5x-16

Step-by-step explanation:

Since we are given the slope and the point, we can plug in the point to solve for y-intercept.

4=-5(-4)+b [multiply]

4=20+b [subtract both sides by 20]

b=-16

Now, we know the equation is y=-5x-16.

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$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\

\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
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\end{array}$ $\bf \begin{array}{llll}
% right side info
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\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
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\end{array}$

$\bf ----------------------------\\
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\\ \quad \\
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\\ \quad \\
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