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Ksenya-84 [330]
1 year ago
10

Write an equation of a line in slope-intercept form that has a slope of -3 and goes through the point (0, 3) O y = 3x - 1 O y =

3x + 2 O y = 3x O y = -3x + 3
Mathematics
1 answer:
slega [8]1 year ago
3 0

ANSWER

y = -3x + 3

EXPLANATION

We want to write the equation in slope-intercept form, which is the form:

y = mx + c

where m = slope; c = intercept

To do that, we have to use the point-slope method:

y - y1 = m(x - x1)

where (x1, y1) = point the line goes through

From the question:

m = -3

(x1, y1) = (0, 3)

So, we have that:

y - 3 = -3(x - 0)

y - 3 = -3x

=> y = -3x + 3

That is the equation of the line in slope-intercept form.

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Answer:

1.75c+2.05c=4.18\\\\Per\ pound\ cost=c=\$1.1

Step-by-step explanation:

Cost\ of\ per\ pound\ apple=Cost\ of\ per\ pound\ oranger=c\\\\

Cost of Apples:

Amount\ of\ apples=1.75\ pounds\\\\Cost\ of\ apples=Amount\times per\ pound\ cost\\\\Cost\ of\ apples=1.75\times c\\\\Cost\ of\ apples=1.75c

Cost of oranges:

Amount\ of\ oranges=2.05\ pounds\\\\Cost\ of\ oranges=Amount\times per\ pound\ cost\\\\Cost\ of\ oranges=2.05\times c\\\\Cost\ of\ oranges=2.05c

Total cost:

Total\ cost\ of\ fruits=cost\ of\ apple+cost\ of\ oranges\\\\Total\ cost\ of\ fruits=1.75c+2.05c\\\\After\ coupon\ cost=\$ 3.43\\\\ Original\ cost=After\ coupon\ cost+coupon\ amount\\\\ Original\ cost=3.43+0.75=4.18

1.75c+2.05c=4.18\\\\3.8c=4.18\\\\c=\frac{4.18}{3.8}\\\\c=1.1\\\\Per\ pound\ cost\ of\ fruits=\$1.1

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