Write an equation of given line through the two points (4,1) (3,-1)

Step-by-step explanation:

The equation for a straight line is

where m is the gradient and c is the y-intercept.

To have the full equation, we need to find m and c values.

To find m, the formula is

By substituting the two points (4,1) and (3,-1)  into the formula, we get:

Now we have

To solve for c, substitute any of the two points in to the equation. Let's say we insert (4,1) into the equation:

Therefore, the full equation is

Pro tip:

You can always substitute (4,1) or (3,-1) to check if the equation is correct.

11 feet 6 inches and 8 feet 6 inches

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: