So we are given two points, say P1(4,7), P2(x,19).
Slope is given by
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8
<h3>
Answer: f(x) = x + 13 </h3>
This is the same as y = x+13
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Explanation:
Let's find the slope
I'll use the first two rows as the (x1,y1) and (x2,y2) points
m = (y2-y1)/(x2-x1)
m = (19-18)/(6-5)
m = 1/1
m = 1
The slope is 1.
Now apply the point slope formula and solve for y
y - y1 = m(x - x1)
y - 18 = 1(x - 5)
y - 18 = x - 5
y = x-5 + 18
y = x + 13
f(x) = x + 13 is the final answer
As a check, note how something like x = 5 leads to...
f(x) = x+13
f(5) = 5+13 ... replace x with 5
f(5) = 18
We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.
The equation y = x+13 has slope 1 and y intercept 13.
<span>Total number of problems Nicole will have completed: y
</span><span>Number of nights she studies: x
</span><span>
She has already completed 20 practice problems:
When x=0, y=20
</span>She plans on completing 6 more problems each night:
y=20+6x
y=6x+20
Please, see the attached graph.
Thanks.
Answer:
Dominic can ride a mile every 4 minutes so if total miles is represented by m, then the solution for how many minutes he's riding for a specific amount of time would be 4m (4 x m). For example, if you want to find out how many minutes it would take to ride 1 mile, substitute m for 1. It would be 4 x 1 = 4 so it takes a total of 4 minutes. If you want to find out how many minutes it took to ride 6 miles, substitute m for 6. It would be 4 x 6 = 24 so it would take a total of 24 minutes to ride 6 miles. If you want to find out how many minutes it took to ride 12 miles, substitute m for 12. It would be 4 x 12 = 48 so it would take a total of 48 minutes to ride 12 miles. I think you gave a lack of information so your question is incomplete but I hope this is applicable and helps anyways!
Answer:
The difference quotient for 
is 
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by
So, for the function the difference quotient is:
To find 
, plug 
instead of 
Finally,
The difference quotient for is .
