Please need help with this one
2 answers:
Answer:
y=1/5x+2
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope, and we're given the slope , so plug that in:
- y= (1/5)x+b
Then we're given a point (10,4), in the format (x,y)
So 10 = x and 4 = y. Plug that in:
- y=(1/5)x+b
- 4=(1/5)(10)+b
Solve for b:
- 4 = 10/5 + b
- 4 = 2 + b
- 2 = b
Now we know that b=2, we can write slope intercept form:
- y=1/5x+2
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Answer:
Slope of equation x = 3 is not defined.
Step-by-step explanation:
The graph for equation is attached.
As clear from the graph, x=3, is a straight line parallel to y-axis.
Slope:
- Since the given equation of line is parallel to the y-axis and parallel lines have same slope.
- Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching
Thus, the given equation will have the same slope as the y-axis.
The slope of y-axis is not defined.
Hence, the slope of this line is not defined.
Answer:
1) Function; Linear Function (y=x)
2) Function; Exponential Function (y=bˣ)
3) Not a function.
Step-by-step explanation:
So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.
First, also recall what the definition of a function is. A function is a function if and only if an x only has <em>one</em> distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is <em>not</em> a function between the x repeats. So, let's go through the choices:
1)
We have the table as shown. Let's plot the points. See TABLE 1:
First, there are no repeating x-values, so we can be sure that this is indeed a function.
Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.
The parent function of a line is:
So, table 1 is associated with a linear function.
2)
Let's again plot the points. See TABLE 2.
Again, there are no repeating x-values, so this is also a function.
Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.
So, table 2 is associated with an exponential function.
3)
First, notice how all the x-coordinates are repeating. And since they do <em>not</em> equal the same thing, this is not a function.
Table 3 is not a function and so has no corresponding family function.
