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2 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics

1 answer:

sashaice [31]2 years ago

4 0

Answer:

y = a*x + b

a is the slope and b is the y-intercept (at x=0)

is the general formula.

let's plug in the x and y information of the point, and slope.

3 = 1/4 * 8 + b

that seems like we can solve for b

3 = 2 + b

1 = b

the y-intercept is at (0,1)

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2 years ago

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

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3 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)​

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)