SOLUTION: x/5 - y/10 = 4 and 3x/4 + 2y/3 = 8 In order to earn credit for the slope and intercepts, you must explicitly write each of these sentences, filling in the blanks with the c

Question 476027: x/5 - y/10 = 4 and 3x/4 + 2y/3 = 8
In order to earn credit for the slope and intercepts, you must explicitly write each of these sentences, filling in the blanks with the correct values for that Use either elimination or substitution to find the solutions (if any).
Graph the two lines, and list the x-intercepts, y-intercepts, and points of intersection.
A. For equation ___________
1. The x-intercept is ___.
2. The y-intercept is ___.
3. The slope is ___.
B. For equation ___________
1. The x-intercept is ___.
2. The y-intercept is ___.
3. The slope is ___.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
x/5 - y/10 = 4 and 3x/4 + 2y/3 = 8
**
Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept
For equation, x/5 - y/10 = 4
y/10 = x/5-4
multiply by 10
y=2x-40
slope=2
y-int=-40
x-int:
set y=0, then solve for x
2x-40=0
2x=40
x=20
..
For equation, 3x/4 + 2y/3 = 8
2y/3=-3x/4+8
multiply by 3
2y=-9x/4+24
Divide by 2
y=-9x/8+12
slope=-9/8
y-int=12
x-int:
9x/8=12
9x=96
x=96/9=32/3
..
A. For equation: x/5-y/10=4
1. The x-intercept is 20.
2. The y-intercept is -20.
3. The slope is 2.
B. For equation 3x/4+2y/3=8
1. The x-intercept is -32/3.
2. The y-intercept is 12.
3. The slope is -9/8.
..
Point of intersection:
2x-40=-9x/8+12
multiply by 8
16x-320=-9x+96
25x=320+96=416
x=416/25=16.64
y=2x-40=-6.72
Point of intersection: (16.64,-6.72)
see graph below as a visual check on answers
..

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