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Tatiana [17]
4 years ago
13

Write an equation for the line that is parallel to the given line and that passes through the given point. y = –6x + 2; (–1, 2)

Mathematics
1 answer:
kap26 [50]4 years ago
6 0
Parallel=same slope
Y=mx+b
Sub in the slope and point to solve for b
2=-6(-1)+b
2=6+b
2-6=b
-4=b
The equation is y=-6x-4; the answer is B
Hope this helps!
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Marysya12 [62]

Saving of $2.10 is made by buying fleece vest on sale.

<u>Solution:</u>

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When we buy at regular price, total amount including sales tax which needs to be paid is:

\mathrm{A}_{\mathrm{R}} = 15.99 + 5% of 15.99

\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left(\frac{105}{100}\right)=15.99 \times 1.05}\end{array}

When buy at sales price, total amount including sales tax which needs to be paid that is

\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(\frac{105}{100}\right)=13.99 \times 1.05}\end{array}

\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}

\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=\$ 2.10}\end{array}

Hence saving of $2.10 is made by buying fleece vest on sale.

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