Graph the line passing through the given point and having the indicated slope. through (3, negative 2) with slope minus−three
fifths 3/5
1 answer:
Answer:
See the attachment
Step-by-step explanation:
A slope of -3/5 means the line drops 3 units for each 5 units it goes to the right. Then you can find another point on the line by going 5 uints to the left (to x=-2) and 3 units up (to y=1).
Plot the given point and the one just computed and draw the line through them.
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Answer:
D(x) is a function
D(x) is a direct variation
D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
D(x) is a direct variation (linear function)
The variable x is the independent variable or input value
The variable D(x) is the dependent variable or output value
<u><em>Verify each statement</em></u>
case 1) D(x) is a function
The statement is true
see the explanation
case 2) x is the dependent variable
The statement is false
The variable x is the independent variable or input value
case 3) D(x) is a direct variation
The statement is true
see the explanation
case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)
The statement is true
Because
For x=5
substitute in the linear equation
---> is ok
For x=6
substitute in the linear equation
---> is ok
For x=-2
substitute in the linear equation
---> is ok