A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

if you have 12 pounds of food and you use 3/8 of that bag of food a day how long untill its all gone how many days

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)

Group of answer choices

A. 2 + x + 3y

B. (2 + x) + 3y

C. 2x + (3 + y)

D. x + (2 + 3y)

Please help!!

Use Heron’s Area Formula to find the value of “x” in the triangle with the given measures. Area = 21.3
[A] x=7.6
[B] x=7
[C] x=8.7
[D] x =5.9

Please help this is my last question'



And if you can show the steps that would be appreciated but if not, that's okay too! I just need the answer! Please




4/5√50​

Which expression is equal to
-18b^-4

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments? Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

544.6 ÷ 1.75 * whats the answer?

Hello' if you can please show the steps too that would be much appreciated!




(And please don't put a random answer just for the points)​

A picture of two horses pulling a carriage to the left.

A free body diagram with 5 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 14,700 N. The second vector is pointing right, labeled F Subscript f Baseline = 75 N. The third vector is pointing upward, labeled F Subscript N Baseline = 14,700 N. The fourth vector is pointing left, labeled F Subscript pi Baseline = negative 1000 N. The fifth vector starts at the tip of the fourth vector, is pointing left, labeled F Subscript p2 Baseline = 800 N. The up and down vectors are the same length. The right vector is shorter than the left vector.

Two horses, Thunder and Misty, are accelerating a wagon 1.3 m/s2. The force of friction is 75 N. Thunder is pulling with a force of 1,000 N, while Misty is pulling with a force of 800 N. The force of gravity is 14,700 N and the normal force is 14,700 N. What is the mass of the wagon? Round the answer to the nearest whole number.

what is 100 x 1000 +20

what is 140 divided by 8

Answer I will cashapp you!!!

Wally-Mart buys bicycles for $25 and sells them for $45. What is the percent increase in the price?

1 (2x + 3) (3x-5) 2. (3x + 5y)3 3. (3x + 5y - 2z)?​

Find the perimeter and area of the polygon with the given vertices.

W(5,−1), X(5, 6), Y(2,−1), Z(2, 6)

HELP ME PLEASE ! we’ll do brainlest?

Determine if the graph is a function or not.

Given the graphs of y = 3x - 1 and y = -2x + 1, determine
which ordered pair is a solution to:
y < 3x - 1
y > - 2x + 1

(-4,2)
(0.4)
(4,2)
(2.-4)

1. Fiona Wolfe regular pay is $9 an hour and time-and-a-half for anything over 40 hours. Last week she worked 46 hours at her full-time job. She also worked 7 hours last week at a part-time job that pays $11 an hour. What total gross pay did she earn last week from both jobs?

please answer i will give you brainiest!!!!!!!!!!!!!!!!!!

SOMEONE PLS HELP ME PLS ITS DUE TMRW

Solve for x
3x - 7 = 2

The school store sells markers for $0.25 each and pencils for 0.50 each.Anthony spent $ 5.50 to buy a total of 16 markers and pencils. How many markers did Anthony buy?

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho

Only right answer please I need help

Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Solve the following inequality:
55 – 5q > 4(7–9).

Solve l5+2xl < 17
(I couldnt find the brackets soo, yea. THANKS!)

Identify the two rational numbers.
O A. 1.01
O B. 57
O c.
- 2 /
O D. 1.010010001...

can someone to my last question​