Point-slope form is y - y1 = m (x + x1)
First you need to find m [slope] by subtract y2 and y1 and divide it by the outcome of x2 - x1
13 - (-9) = 22
-2 - 9 = -11
22/-11 = -2
Plug in the first point (as instructed) into the equation.
y - (-9) = -2 (x - 9)
Simplify the beginning.
y + [9] = [-2] (x + [-9])
(The brackets are the fill in the blanks)
Since A = L * W, W = A / L.
Here, W = (6 1/8 ft^2) / (3 1/2 ft) = 1 3/4 ft.
The garden width is 1 3/4 ft.
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Make y the subject :
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y - 3 = 4(x + 8)
y - 3 = 4x + 32 // Apply distributive property
y = 4x + 35 // Add 3 to both sides
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Identify Slope :
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Slope = 4
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Find a point on the line :
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When x = 0,
y = 4(0) + 35 // Sub x = 0 into the equation
y = 35 // Combine like terms
Point = (0, 35)
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Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
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9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Using Cramer's rule, the value of x is ...
x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10
x = 7
Answer:
She paid 9% of sales tax
Step-by-step explanation:
The sale price of diamond = $375
Let x be percent of sales tax
So, amount of tax = 
So, Amount including tax = 375+3.75x
We are given that Bethany paid $408.75 for a pair of diamond stud earrings.
So, 375+3.75x=408.75
3.75x=408.75-375
x=9
Hence She paid 9% of sales tax
