Answer: y=-6x-25
Step-by-step explanation:
Find slope of original line by solving for y
3y+6x=6
y+6x=2
y = -6x+2 <--- we have found the slope is -6
Using y-y1 = m (x-x1) find the equation for the parallel line:
y-(-7)= -6(x-(-3)) <--- plug in the point coordinates and slope into the equation and solve for y
y+7=-6x-18
y=-6x-25
The diagonals bisect each other
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
Hey!~
The order of the fractions from least to greatest would be:
1/5, 2/8, 4/10.
Hope this helps and have a great day!
-Lindsey
To write the equation of a line I need slope and y intercept (0,y)
I have y intercept (0,7) of +7 as written in the equation
The equation y=-5/4x + 11/4 has a slope of -5/4
To get perpendicular slope is negated reciprocal
so take -5/4 and flip it -4/5 and change the sign (in this case negative to positive) 4/5
so the new equation is y=4/5x +7 (third one)
