What is the slope of the line that passes through the points (25,50) and (80,110)
1 answer:
Answer:
12/11
Step-by-step explanation:
the formula to find the slope of a line is:
where is the slope and
and
are the points where the line passes.
in this case we have that the first point is: (25,50) thus⇒ and
and the second point: (80,110) thus ⇒ and
substituting this values into the formula for the slope:
the slope of the line is 12/11
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In this, case, the rise is -3, and the run is 2. This means that the slope is
Now we have the first part of our equation:
y = - + b
But wait! How do we find b?
Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!
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Now we have our complete equation!
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Good luck!
Step-by-step explanation:
Let's represent the number of mochas bought with the variable , and the number of lattes bought with the variable
.
Since there are students, the total number of mochas and lattes bought must be
. This can be represented with the following equation:
We can also set up another equation based on the total amount spent on the coffe:
If we rearrange the first equation, we can solve for :
If we substitute this into the second equation, we can solve for :
Subtituting this back into the original equation, we can solve for :
Therefore, 9 mochas and 14 lattes were bought.