Two digits are selected with replacement from the digits 1, 2, 3, and 4.

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}$

Therefore, the slope (m ) = 10/9.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0

2 years ago

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Whic

Andreyy89

Answer:

The inequality equation is 12 ≤ 2x + 3y

Step-by-step explanation:

Protein in a cheese square = 2 grams

Protein in a turkey square = 3 grams

And She can eat 12 or more grams of proteins

Let x be the number of cheese squares and y be the number of turkey squares that she eats.

So, we can write an inequality equation, that describes the given situation in the problem.

i.e. 2x + 3y ≥ 12 or 12 ≤ 2x + 3y

So the inequality equation is 12 ≤ 2x + 3y

4 0

3 years ago

Read 2 more answers

What is the area of angle GHI

steposvetlana [31]

6.4

1/2 * 5.4 * 7.1 sin60

Mark brainliest please

3 0

3 years ago

Solve the system of linear equations. −8x+5y=26 9x−3y=−3

Sloan [31]

Answer: x = 3 and y = 10

Step-by-step explanation:

-8x + 5y = 26 .................. equation 1

9x - 3y = -3 ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

-24x + 15y = 78 ............. equation 3

45x - 15y = -15 ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

x = 63/21

x = 3

Substitute x = 3 into equation 1 or equation 2 to get the value of y , using equation 2 , we have

9x - 3y = -3

9(3) - 3y = -3

27 - 3y = -3

27+3 = 3y

30 = 3y

30/3 = y

Therefore y = 10

Therefore : x = 3 and y = 10

8 0

4 years ago

MODELING REAL LIFE The table shows the profit y for recycling x pounds of aluminum. Find the profit for recycling 75 pounds of a

True [87]

Answer: 33.75

Step-by-step explanation:

It’s right

8 0

3 years ago