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Ivenika [448]
3 years ago
12

A line passes through the point. (4, -7) and has a slope of 5/2

Mathematics
1 answer:
blagie [28]3 years ago
6 0

t p = through point

s = slope

y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\

y - ( - 7) =  \frac{5}{2} \times (x - 4) \\

y + 7 =  \frac{5}{2} \times (x - 4) \\

y + 7 =  \frac{5}{2}x -  \frac{5 \times 4}{2} \\

y +7 =  \frac{5}{2}x -  \frac{20}{2} \\

Subtract both sides -7

y =  \frac{5}{2}x -  10 - 7 \\

y =  \frac{5}{2}x -   17 \\

And we're done....

♥️♥️♥️♥️♥️

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. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
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well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

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