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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)

Mathematics

1 answer:

sashaice [31]3 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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Katena32 [7]

Given
- f(n) values for n=1,2,3,4
- possible candidates for the function

Solution:
Method: Evaluate some of the values, for each function. A function with ANY value not matching the given f(n) values will be rejected.

N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4 [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3 [rejected]

N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12 [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]

Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36 [Good]
[rejected]

Solution: f(n)=4(3^(n-1))

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3 years ago

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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)​

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