If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, ymxb. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-3,19) and (6,-2)

2y + 3x = 3

Step-by-step explanation:

The standard form of equation of a line is expressed as;

y = mx+c

m is the slope

b is the intercept

We are to find the equation of a line passing through the points  (-3,19) and (6,-2)

First get the slope

m = y2-y1/x2-x1

m = -2-19/6-(-3)

m = -21/9

m = -7/3

Get the y- intercept b;

Substitute the coordinate (6, -2) and m = -7/3 into the expression y = mx+b and get b;

-2 = -7/3(6) + c

-2 = -7/2 + c

c = 7/2 - 2

c = (7-4)/2

c = 3/2

Substitute the slope and intercept into the formula

y = mx+b

y = -7x/2 + 3/2

Multiply through by 2;

2y = -7x + 3

2y + 7x = 3

Hence the required equation is 2y + 7x = 3

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:

answ5

step-by-step explanation:

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