Hello,
5
5+10=15
15+3=18
18+10=28
28+3=31
31+10=41
....
Answer:
y = x - 3
Step-by-step explanation:
From the table attached,
Scatter plot given in the graph is correct.
Let the equation of the line passing from a point (x', y') is,
y - y' = m(x - x')
m = slope
Slope of the line passing through two points 
and 
is given by,
m = 
Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,
m = 
Therefore, equation of the line passing through (11, 8) will be,
y - 8 = 1(x - 11)
y = x - 11 + 8
y = x - 3
Answer:
Distributive property means to multiply the number outside the parentheses to the numbers & variables inside the parentheses.
-5(-6y+4x-5)
= 30y-20x+25
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Step-by-step explanation:
3x+18+2x-5= -2x+-2+10
combining like terms
3x+2x+2x=5-2+10-18
7x=-5
x=-5/7
