50 points!

How would you write a system of equations to help you solve the following:
- Mary has 22 coins that are either dimes or nickels. The total for the coins is $1.85

x+y=22

.1x+.05y = 1.85

Step-by-step explanation:

Let's let x represent dimes and y represent nickels.

She has 22 total coins, so x+y=22.

Each dime costs .1 dollars, and each nickel costs .05 dollars. The total cost is $1.85, so .1x+.05y = 1.85. (If you wanted to solve for cents instead, you can just as easily make is 10x+5y = 185, but that doesn't really matter in the long run!)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is