The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
<h3>What is the Point-slope form?</h3>
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
Learn more about slope;
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Answer:
Step-by-step explanation:
he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25
0.10d + 0.25q = 4.80
he has 6 more dimes then quarters
d = q + 6
====================
d = q + 6...so we sub q + 6 in for d, back into the other equation
0.10(q + 6) + 0.25q = 4.80
0.10q + 0.60 + 0.25q = 4.80
0.35q = 4.80 - 0.60
0.35q = 4.20
q = 4.20 / 0.35
q = 12 <====== there is 12 quarters
d = q + 6
d = 12 + 6
d = 18 <===== there is 18 dimes
Answer:
N + 434000
Step-by-step explanation:
N + N - 35000 = 833000
(add 35000 to both sides)
N + N = 868000
(N + N is equivalent to 2N)
2N = 868000
(divide both sides by 2)
N = 434000
