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valkas [14]
3 years ago
5

If the equation y=1/2x+2 is changed to y=3x+2, what will be true about the graph of the equation

Mathematics
2 answers:
anygoal [31]3 years ago
6 0
The first equation will go up by 2.5 and if it were changed to y=3X+2 it will go up by 8
Fynjy0 [20]3 years ago
4 0
From y=1/2x+2 to y=3x+2
A). The graph will shift up 3 units
B). The graph will shift down 3 units
C). The graph will shift left 3 units
D). The slope of the graph will be changed


y=mx+b
m=slope

compare
y=1/2x+2 and
y=3x+2
the only change is the slope from 1/2 to 3
the yintercpet did not change, therefor it does not shift left or right or up nor down


D is the answer

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Y=x+1 and y=-x-3 in graphing,Substitution,and elemination
marysya [2.9K]

\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right\\\\GRAPHING\ \text{(look at the picture)}\\\\y=x+1\\for\ x=0\to y=0+1=0\to(0,\ 1)\\for\ x=-1\to y=-1+1=0\to(-1,\ 0)\\\\y=-x-3\\for\ x=0\to y=-0-3=-3\to(0,\ -3)\\for\ x=-3\to y=-(-3)-3=0\to(-3,\ 0)\\\\Solution:\ (-2,\ -1)


SUBSTITUTION\\\\\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right\\\\\text{substitute}\ y=-x-3\ \text{to the first equation}\\\\-x-3=x+1\ \ \ \ |+3\\-x=x+4\ \ \ \ |-x\\-2x=4\ \ \ \ |:(-2)\\x=-2\\\\\text{substitute the value of x to the second equation}\\\\y=-(-2)-3=2-3=-1\\\\Solution:\ (-2,\ -1)


ELIMINATION\\\\\underline{+\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right}\ \ \ |\text{add both sides of the equations}\\.\ \ \ \ 2y=-2\ \ \ \ |:2\\.\ \ \ \ \ \ y=-1\\\\\text{put the value of y to the first equation}\\\\-1=x+1\ \ \ \ |-1\\x=-2\\\\Solution:\ (-2,\ -1)

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3 years ago
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