distance formula
The distance formula is really just the Pythagorean Theorem in disguise. To calculate the distance AB between point A(x1,y1) and B(x2,y2) , first draw a right triangle which has the segment ¯AB as its hypotenuse. Since AC is a horizontal distance, it is just the difference between the x -coordinates: (x2−x1)
slope formula
To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation.
midpoint formula
The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.
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Sn=sum of the n terms of the geometric sequence.
a= the first term
r=the common ratio
n=numbers of terms.
Sn=a[(1-r^n)/(1-r)]
In this case:
a=-3
r=a₂/a₁=15/-3=-5
n=9
S₉=-3[(1-(-5)⁹) / (1-(-5))=
S₉=-3(1+1953125)/6)=
S₉=-3(1953126/6)=
S₉=-3(325521)
S₉=-976563
<span>Answer: A. -976563
hope this helps :^)</span>
For AC = 6y - 1,
y = 1/6 + AC/6
For BD = 4y + 13,
y = -13/4 + BD/4
