A line in point-slope form has the equation
y = mx + b
where m=slope (increase in y for unit increase in x), and
b=y-intercept (value of y where line cuts y-axis)
The original line is
y=(-1/2)x + 11
so
slope = m = -1/2
Any line perpendicular to a line with slope m has a slope of m1=-1/m
So the slope m1 of the required line
m1 = -1 / (-1/2) = +2
and the required line therefore has an equation of
y=2x+b
Knowing that the line passes through P1=(x1, y1)=(4,-8), we can find b using the point slope form of a line with slope m : (y-y1) = m(x-x1)
where m=+2 as found above.
Substituting values, m=+2, x1=4, y1= -8
y-(-8) = +2(x--4)
simplify
y+8 = 2x-8
=>
y=2x-16 (in point slope form)
Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Answer:
? = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
?² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
? = 
= 13
15+12+6= total number of marbles
33= total
Not clear marbles = 15+12 or 27
27 /33
.818181
82 percent
-2 or -2/1 because the ratio is y over x and the line is going down 2 (-2) every time it goes to the right once (1)
