What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
1 answer:
Answer:
The answer is
<h2>Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
<h3>where
m is the slope
( x1 , y1) is the point
From the question the point is (0 , 3) and slope is - 6
Substitute the values into the above formula and solve
That's
<h3>We have the final answer as
<h3>Hope this helps you
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Length: 2w + 59
width: w
diagonal: (2w + 59) + 2 = 2w + 61
Length² + width² = diagonal²
(2w + 59)² + (w)² = (2w + 61)²
(4w² + 118w + 3481) + w² = 4w² + 122w + 3721
5w² + 118w + 3481 = 4w² + 122w + 3721
w² + 118w + 3481 = 122w + 3721
w² - 4w + 3481 = 3721
w² - 4w - 240 = 0
a = 1, b = -4, c = -240
w =
=
=
=
=
=
since width cannot be negative, disregard 1 - 2√61
w = 1 + 2√61 ≈ 16.62
Length: 2w + 59 = 2(1 + 2√61) + 59 = 2 + 4√61 + 59 = 61 + 4√61 ≈ 92.24
Answer: width = 16.62 in, length = 92.24 in