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3 years ago

If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?

Mathematics

1 answer:

valkas [14]3 years ago

3 0

the equation for a line is y = mx+b

m = slope

b = y intercept

you know the slope is 2/3 and the y intercept is 7 so just replace them in the equation:

y =2/3x +7

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Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on froze

pychu [463]

Answer:

$44

Step-by-step explanation:

Let the total amount of money be represented by Y

Amount spent on fresh food =

$\frac{4}{7} \times y$

Remainder =

$y - \frac{4}{7}y = \frac{3}{7} y$

Amount spent on frozen foods = two-thirds of remainder = $22

$= \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y$

$\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77$

The total amount for grocery shopping is $77

Therefore, Brittany spent $44 on fresh foods

$= \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44$

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