Answer:
the slope of line is m=2/9
Step-by-step explanation:
It’s 78-45 to get the new season
Simplify the following:
8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5
Grouping like terms, 8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5 = (-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5):
(-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5)
8 p^3 - 3 p^3 = 5 p^3:
5 p^3 - 2 p^2 + (5 p - 12 p) + (-4 + 5)
5 p - 12 p = -7 p:
5 p^3 - 2 p^2 + -7 p + (-4 + 5)
5 - 4 = 1:
Answer: 5 p^3 - 2 p^2 - 7 p + 1
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)