Which phrases correctly describe the location of –34 on the number line?
1 answer:
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Answer:
C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.
Step-by-step explanation:
We are given the graph of the equation y = 3x -4 as shown below.
Substituting x =3 in the equation gives us,
y = 3x - 4
i.e. y = 3 × 3 - 4
i.e. y = 9 - 4
i.e. y = 5
Thus, we get the point ( x,y ) = ( 3,5 ).
Here, x = 3 < 5 = y.
So, option A is not correct.
Also for ( 3,5 ), we have y = 5 = 3 + 2 = x + 2 i.e. y is not 3 less than x.
This shows that option B is also not correct.
If we put x = 0 in the equation, we get y = 3x -4 i.e y = -4.
Thus, both x and y co-ordinate do not have the same sign.
So, option D is wrong.
Hence, option C is correct i.e. we get the y-coordinate, when we triple the x-coordinate and then subtract 4.
Answer:
-3
Step-by-step explanation:
You can use to find the slope of a line going through
and
.
I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.
(6,h)
minus
(7,-10)
------------
-1 h-(-10)
This also said to be equal to -7:
Multiply -1 on both sides:
Subtract 10 on both sides:
[texh=-3[/tex]
So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.
Let's test it:
(6,-3)
minus
(7,-10)
----------
-1 7
So the slope is 7/-1=-7. This is the intended goal.
The check is good.