april455
Answered

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Which equation is shown on the graph?




A.


y = 2x


B.


y = x – 2



C.


y = 2x + 2


D.


y = x + 2

Which Equation Is Shown On The Graph A Y 2x B Y X 2 C Y 2x 2 D Y X 2 class=

Sagot :

The answer is D. The rise over run is 2/2 which is y=x and it is shifted up 2 on the x axis so D
AL2006

-- As the line moves from left to right, it rises.  So you know that
its slope is positive.
(All 4 choices have positive slopes, so that doesn't help.)

-- From the place where the line crosses the x-axis to the place
where it crosses the y-axis, it moves 2 units forward and also
rises 2 units.  So you know that its slope is (2/2) = 1 .
(A. and C. both have slopes of 2, so it can't be either of those.)
(B.and D. both have slopes of 1,so it could be either of those.)

-- The line does not go through the origin.  So you know that
its y-intercept is not zero.
(A. has no y-intercept, so that can't be it.)

-- The line crosses the y-axis at y=2, so you know that its y-intercept is  2 .
(B. has y-intercept of -2, so that can't be it.)
(C. and D. both have y-intercept of 2, so it's one of those.)
(But the slope has to be 1, and C. has slope of 2.)
(So it must be D.)


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