Which equation models the linear relationship between the variables shown in the table?
1 answer:
Answer:
H) y = 2x -3
Step-by-step explanation:
Given the data on the table for the values of 'x' and 'y', you can find the slope by taking two points and subtracting the difference in 'y' values from the difference in 'x' values:
(
Using points (6, 9) and (2, 1):
Given the slope (m)=2, you can use slope-intercept form to solve for 'b':
y = mx + b
y = 2x + b, use point (2, 1) for 'x' and 'y': 1 = 2(2) + b or 1 = 4 + b so b = -3
Put the values of m = 2 and b = -3 into your slope-intercept form:
y = 2x -3 (answer H)
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Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then
where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e., , is of the
, where,
.
So, the equation represents a proportional relationship.
Therefore, the correct option is B.
Answer:
x= -8 BDC= 68
EXPLANATION:
They create a straight angle which is always equal to 180. this means you must add both equations and set them equal to 180.
