Answer:
y = 6x -7
Step-by-step explanation:
1. The equation of any line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Given that the slope is 6, we plug that value in m, and given that the y-intercept is -7, we plug that value in b:
Answer:

Step-by-step explanation:
The given expression is :

It can be solved as follows :

So, the solution of the given expression is equal to
.
Answer:
The number of nickel coins is 10 and the number of quarter coins is 5
Step-by-step explanation:
<u><em>The correct question is</em></u>
Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
Let
x ----> the number of nickel coins
y ----> the number of quarter coins
Remember that


we know that
Mary has 15 coins
so
-----> equation A
The total value of the coins is $1.75
so
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (10,5)
therefore
The number of nickel coins is 10 and the number of quarter coins is 5
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope

---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to

For y=0


so
6 is the maximum number of movies that Elyse can rent on line