Silas claims that the equation y=2+mx, where m is a real number, represents a function whose graph is a straight line.
2 answers:
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Answer:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.
Step-by-step explanation:
For this exercise you need to know that the slope of any horizontal line is zero ()
The slope of a line can be found with the following formula:
You can observe in the graph of the function given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:
The steps to find the slope of the function shown in the table attached, are the following:
- Choose two points, from the table:
and
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get:
Therefore:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.