Slope-intercept form is y = mx + b, so to turn that equation into slope-intercept you'll need to get y alone
4x - 8y = 8 --- subtract 4x
-8y = 8 - 4x --- divide by -8
y = -1 + (1/2)x --- reorder to match "mx + b"
y = (1/2)x - 1
in y = mx + b, "m" is the slope and "b" is the y-intercept. so for part B, your slope is (1/2) and your y-intercept is (-1). take the sign with you.
for part C, you'll need to know point-slope form: (y - y1) = m(x - x1)
you'll also need to be aware that "perpendicular" lines have a slope that is the opposite reciprocal of the original line.
the original slope is (1/2). change the sign to negative and form a reciprocal: your new slope is -2. plug that into your point-slope form
(y - y1) = m(x - x1)
(y - y1) = (-2)(x - x1)
and lastly, plug in your given point: (1, 2)
y - 2 = (-2)(x - 1)
so, just to look a little neater without all of the work:
A) y = (1/2)x - 1
B) m = (1/2), b = -1
C) y - 2 = (-2)(x - 1)
Answer:
The probability is 0.0008.
Step-by-step explanation:
Let X represents the event of defective bulb,
Given, the probability of defective bulb, p = 20 % = 0.2,
So, the probability that bulb is not defective, q = 1 - p = 0.8,
The number of bulbs drawn, n = 10,
Since, binomial distribution formula,
Where, 
Hence, the probability that exactly 7 bulbs from the sample are defective is,
Hi!
The point where the three altitudes of a triangle intersect is called the orthocenter.
Altitudes are lines which pass through the the vertex of a triangle, and bisect the other side.
There are three other points like an orthocenter; an incenter, a circumcenter, and a centroid. They're where the angle bisectors, the perpendicular bisectors, and the medians of a circle intersect, respectively.
Hope this helped!
10 cancels out so its 5/3 :) Rate Me plz <span />
