Y = ²/₃x + 7
y = ²/₃(5) + 7
y = 3¹/₃ + 7
y = 10¹/₃
(x, y) = (5, 10¹/₃)
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])
For example:
Slope = 
Perpendicular line's slope =
or -3
Slope = -2 or 
Perpendicular line's slope = 
The given line's slope is
, so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation
9 = -3(1) + b Add 3 on both sides to get "b" by itself
9 + 3 = -3 + 3 + b
12 = b
y = -3x + 12
Answer:

Step-by-step explanation:

3x = 36 x 5
3x = 180
x = 60
Michael has 60 marbles.
Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles
The new ratio will be:
= 
Answer:
boardgamegeek.com/boardgame/245655/kings-dilemma
Step-by-step explanation: