Which table of values could be generated by the equation -10x+5y=15
1 answer:
9514 1404 393
Answer:
see below
Step-by-step explanation:
I find it convenient to factor 5 from the equation and re-order the left side:
y -2x = 3
This makes it relatively easy to see that the values in the left-most table will satisfy this equation.
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If we look at the table values for x=2, where all the tables differ, we can easily find the one that works:
1. 7 -2(2) = 3 . . . . this value works in the equation
2. 0.5 -2(2) = -3.5 . . . . no
3. -1 -2(2) = -5 . . . . no
4. 2.5 -2(2) = -1.5 . . . . no
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Answer:
C) y = 2x + 7; y = 2x + 2
Step-by-step explanation:
The two lines are parallel and so will have the same slope.
From the graph, the slope of both lines are two.
Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c
The blue line has a y-intercept of 2 so the equation is
The red line has a y-intercept of -7 so the equation is
Hence the system is
y=2x+2
y=2x-7
The correct answer is C