Answer:
B. The statement does not make sense because a linear function has a straight-line graph.
Step-by-step explanation:
Linear functions have a general form y = m*x +b and only yield straight-line graphs. Therefore, the statement does not make sense, either the graphed function is not linear, or there was an error in the graphing process. The answer is alternative B.
*Note that alternative D is wrong because it is incomplete, since linear functions can have a rate of change that increases (m > 0), decreases (m < 0) or that is zero (m = 0).
Answer:The slope of the line is both ppsitive and linear.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Step-by-step explanation:
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