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Mathematics & Economics
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Math Problem
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# Homework on graphs, slopes and functions (Math Problem Sample)

Instructions:

You are to complete Questions 288, 300, 308, 350, 358, 370, 380, 386, 392, 402, 406, 408, 410, 418, 424, 446, 464, 476 in attached pics.

source..
Content:

288.
a=2, b=-5
x/a + y/b = 1
x/2 + y/-5 = 1
(-5x+2y)/-10 = 1
-5x+2y=-10
5x-2y=10
2y=5x-10
m= 5/2, b= -5
300.
6x+4y=12
4y=-6x+12
y= -6x/4 + 12/4
y= -(3/2)x + 3
m= -3/2 , b=3
308.
y= -x+2
If y=0 then x=2
If x=0 then y=2
Therefore, pts. are (2,0) & (0,2)
350.
4x+2y=6
2y=-4x+6
y= -4/2 x +6/2
y= -2x + 3
m1=-2
6x+3y=3
3y=-6x+3
y=-2x+1
m2=-2
Therefore: parallel (//)
358.
y=-4, y=3
Y=mx+b
y= (0)x-4
.:m=0
y= (0)x+3
.:m=0
Therefore: parallel (//)
370.
3x-2y=82x+3y=6
-2y=-3x+83y=-2x+6
Y= (3/2)x+8y= -(2/3)+2
Y=(3/2)x-4m2= -(2/3)
m1=3/2
m2= 1/ (-m1)
-(2/3) = 1/ (-3/2)
-(2/3) = -2/3
Therefore: perpendicular
380.
6x-4y=58x+12y=3
-4y=-6x+512y=-8x+3
Y= (3/2)x - (5/4)y=-(2/3)x+ 1/4
m1= 3/2m2=-2/3
m2= 1/ (-m1)
-(2/3) = 1/ (-3/2)
-(2/3) = -2/3
Therefore: perpendicular
386.
Slope=3 , y-int (0,5)
M=3, b=5
Y=mx+b
Y=3x+5
392.
Slope= -2, y-int (0,-3)
M=-2, b=-3
Y=mx+b
Y=-2x-3
402.
(1,-2), (0,-5)
y-y1 = ((y2-y1)/ (x2-x1)) (x-x1)
Y+2 = ((-5+2)/ (0-1)) (x-1)
Y+2 = ((-3)/ (-1)) (x-1)
Y+2=3(x-1)
Y+2=3x-3
Y=3x-5
406.
(3,-1), (0,3)
y-y1 = ((y2-y1)/ (x2-x1)) (x-x1)
Y+1 = ((3+1)/ (0-3)) (x-3)
Y+1 = ((3)/ (-3)) (x-3)
Y+1 = (-1) (x-3)
Y+1 = -x+3
Y=-x+2
408.
(0,-2), (2,-2)
y-y1 = ((y2-y1)/ (x2-x1)) (x-x1)
Y+2 = ((-2+2)/ (2-0)) (x-0)
Y+2 = 0
Y=-2
410.
M= 5/8 , (8.3)
Y-y1=m(x-x1)
Y-3= (5/8)(x-8)
Y-3= (5/8)x-5
Y= (5/8)x-5+3
Y= (5/8)x-2
418.
Horizontal line c

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