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Dafna1 [17]
3 years ago
13

Which point on the line represents 3/5

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Step-by-step explanation:

The correct answer is: Point B.

The easiest way to solve this is to make the fraction, 3/5, to a decimal.

3/5 = 0.6

Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.

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Which is an equation of the line that passes through (–1, –5) and (–3, –7)?
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For this case we have that by definition, an equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, then we find the slope:

(x1, y1): (- 1, -5)\\(x2, y2): (- 3, -7)

m = \frac {y2-y1} {x2-x1} = \frac {-7 - (- 5)} {- 3 - (- 1)} = \frac {-7 + 5} {- 3 + 1} = \frac {-2} {- 2} = 1

Then, the equation is of the form:

y = x + b

We substitute a point and find b:-5 = -1 + b\\-5 + 1 = b\\b = -4

Finally we have:

y = x-4

Answer:

Option B

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