A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)

tatiana had $350. she spent $180 on herself ad the rest on presents for her family.writ an equation to express how much tatiana spent on her family.

Identify the solution for the system of equations graphed here.

A) (1,1)

B) (-1,1)

C) (1,-1)

D) (-1, -1)​

Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2​

I am Stuck on this Math Question on Angles

So there is this math question im stuck on and I was wondering how to solve it and the answer for this problem

The problem consists of two parralel lines and a triangle but there are exterior angles im trying to find the angle of but I simply cannot

I will provide a picture for you guys to see

Thank you and have a good day :)

someone please help me

Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)​

ANSWER PROPERLY FOR BRAINLIEST OR ELSE I REPORT

The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector
​

if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK

Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help

!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.

PLEASE HELP RLLY NEED ANSWER

Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?

Enter your answer as a decimal, if necessary, like this: 42.5

Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.

8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.

b. Find the cost of a small box of oranges and the cost of a large box of oranges​

which expressions are equivalent to 4 (4a + 5)
choose 3 answers

A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4

Pls help ASAPI don’t understand can you show steps too pls

Find the number that makes the ratio equivalent to 99:66
:6

The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)​

If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6

Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).

7075806785463087580370x98437532794395798243757934

PLZ HELPP I NEED THIS ASAP ROUND TK THE NEAREST TENTH HELP ASAP GIVING BRAINLEST

Simplfy the answer t-4t2/t2

Find the slope for the table.

3x+2x=20. What is the answer dor this equation. ​

The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1

factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)​

When deriving the Quadratic Formula, we start with the general equation for a quadratic:

The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.