MATHEMATICS HIGH SCHOOL

Write an equation for the function that includes the points (-2,3) and (-1,9)

Answers

Answer 1

Answer:

Answer:

f(x)=6x+15

Step-by-step explanation:

first you find the gradient of the equation with the gradient formula by using the two given points

the gradient is 6, so using the slope equation which is y=mx+b sub 6 into the gradient

you then get y=6x+b

to find b just sub in any of the points and solve the equation.

ps. f(x) essentially stands for a y so don't get confused

hope this helps :)

Answer 2

Answer:

Answer:

y = 6x + 15.

Step-by-step explanation:

The slope of the line joining these 2 points =

(9-3)/(-1-(-2))

= 6/1

= 6

Use the point-slope form of a straight line:

y - y1 =m(x - x1) Here m = 6 and (x1, y1) will be (-2, 3), so:

y - 3 = 6(x -(-2))

y - 3 = 6(x + 2)

y = 6x + 12 + 3

y = 6x + 15.

Related Questions

On a particular day, the wind added 2 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 2 miles per hour from her rate on her return trip. Jaime found that in the same amount of time she could row 44 miles with the wind, she could go only 36 miles against the wind.What is her normal rowing speed with no wind?
How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two decimal places.
Write an expression that has two terms. Your expression should have a variable and a constant.
You have this information about ΔABC, ΔDEF, and ΔGHI:AB = DF AB = GI BC = HI DE = HI m∠B = m∠D = m∠I Which triangles must be congruent? ΔABC and ΔDEF only ΔGHI and ΔABC only none of the triangles ΔABC, ΔDEF, and ΔGHI
A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= $(exercises)/(hour)$
Monday average= $(p)/(3h)$
Tuesday average= $(p)/(2h)$
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average= $(2p)/(5)$

I had 33 pictures from summer camp. I gave three pictures away to friends and I plan to divide the remaining pictures evenly between five pages of the photo album .which equation could I use to find how many pictures will be on each page

Answers

33-3=30
30/5=6
There would be 6 pictures on each page

Answer:

33-3 = 30

30 ÷ 5 = 6

Step-by-step explanation:

What is 6^7= pls help me i really need this

Answers

Answer:

279,936

Step-by-step explanation:

Find the value of x so that lines l and m are parallel.

Answers

Final answer:

The value of x that will make the given lines parallel is 11. This is determined by setting up and solving the equation formed by setting the two given angles equal to each other.

Explanation:

In this question, you are provided with the two alternate interior angles formed by the two lines l and m that are supposedly parallel. We know that in the case of parallel lines, alternate interior angles are equal.

Therefore, for the lines l and m to be parallel, the equality 2x+22 = 4x must hold.

Let's solve this equation step by step:

Subtract 2x from both sides: 22 = 2x
Divide both sides by 2: x = 11

So, the value of x that makes lines l and m parallel is 11.

Learn more about Parallel Lines here:

brainly.com/question/29762825

#SPJ2

$4x+2x+22=180\n\n6x=158\n\nx=(158)/(6)=(79)/(3)$

Which side lengths could be used to form a triangle?10 cm, 20 cm, 10 cm

1 cm, 2 cm, 5 cm

14 cm, 8 cm, 5 cm

6 cm, 2 cm, 7 cm

Answers

6,2,7
1,2,1
Pretty sure but double check with someone else.

'Solve using perfect square factoring patterns.
x^2 – 12x + 36 = 4'

Answers

$x^2-12x + 36 = 4 \n \nx^2-12x + 36 - 4 =0\n \nx^2-12x + 32 =0 \n \na=1 , \ b=-12, \ c =32\n \n \Delta =b^2-4ac = (-12)^2 -4\cdot1\cdot 32 = 144-128 =16\n \nx_(1)=(-b-√(\Delta) )/(2a)=(12-√(16))/(2 )=( 12-4)/(2)=(8)/(2)= 4$

$x_(2)=(-b+√(\Delta) )/(2a)=(12+√(16))/(2 )=( 12+4)/(2)=(16)/(2)= 8$

Other Questions

How are fractions and decimals related

How to find the inverse of a function

Which shows a difference of squares?10y2 – 4x2 16y2 – x2 8x2 – 40x + 25 64x2 – 48x + 9

Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find the X – coordinates, but the quadratic formula is probably easier.