Mathematics High School

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-9,7) (9,1)
What is the point-slope form of the equation of the line?

Answers

Answer 1

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

First find the slope.

Formula for slope is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2).

Slope = (7-1)÷(-9-9)

= -6/18

= -1/3

Equation of line is y = -1/3 + c.

Substitute either one of the points into the equation to find c.

1 = -1/3(9) + c

c = 4

Hence equation of line is y = -1/3x + 4

Related Questions

PLEASEEEEE HELP IDEK WHAT TO DO

Answers

The evaluated value of the function is as follows:

g(10) = - 29f(3) = 16h(-2) = -6j(7) = 23h(a) =  12 / ag(b) + g(c) = -3b - 3c + 2x = -5x = -6x = 4

How to evaluate a function?

The functions can be evaluated as follows:

To evaluate a function is to replace (substitute) its variable with a given number or expression.

In other words, evaluating a function means to substitute a variable with its given number or expression.

Therefore,

g(x) = -3x + 1

f(x) = x² + 7

h(x) = 12 / x

j(x) = 2x + 9

Hence,

a.

g(10) = -3(10) + 1

g(10) = -30 + 1

g(10) = - 29

b.

f(3) = (3)² + 7

f(3) = 9 + 7

f(3) = 16

c.

h(-2) = 12 / -2

h(-2) = -6

d.

j(7) = 2(7) + 9

j(7) = 14 + 9

j(7) = 23

e.

h(a) = 12 / a

h(a) =  12 / a

f.

g(b) + g(c) = -3(b) + 1 + -3(c) + 1

g(b) + g(c) = -3b + 1 - 3c + 1

g(b) + g(c) = -3b - 3c + 2

h.

find x when g(x) = 16

16 = -3x + 1

16 - 1 = -3x

15 = -3x

x = 15 / -3

x = -5

j.

find x when h(x) = -2

-2  = 12 / x

-2x = 12

x = 12 / -2

x = -6

k.

find x when f(x) = 23

23  = x² + 7

23 - 7 = x²

x² = 16

square root both sides

x = √16

x = 4

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5. The elevation of the Dead Sea is -1,286 feet. (The Dead Sea is below sea level.) Mt.
McKinley has an elevation of 20,320 feet. What is the difference in the elevation between
the Dead Sea and Mt. McKinley?
22-13 You add

Answers

Answer:

21606 ft

Step-by-step explanation:

get difference between elevations with subtraction

20320 - - 1286

20320 + 1286

21606 ft

EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.

33, 35, 37, 39

Answers

Answer:

Common difference = 2

21st term = 73

Explicit rule : a(n) = 31 + 2n

Three terms in the sequence after 73: 77,77,79

Step-by-step explanation:

Given:

33, 35, 37, 39

If the sequence is arithmetic it  has a common difference ( same difference on each value)

d= Common difference = 35 - 33 = 37 - 35 = 39 - 37 = 2

d = 2

Explicit formula:

a(n) = a1 + d (n - 1 )

Where:

a1= first term = 33

d = common difference = 2

Replacing:

a(n)= 33 + 2 (n - 1 )

a(n) = 33 + 2n - 2

a(n) = 31 + 2n

21st term:

a(21) = 31 + 2 (21) = 31+ 42 = 73

To obtain the three terms in the sequence after 73, add the common difference 3 times.

73 + 2 = 75

75+2= 77

77 + 2 = 79

Answers:

Common difference = 2

21st term = 73

Explicit rule : a(n) = 31 + 2n

Three terms in the sequence after 73: 77,77,79

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x/16 = 7/10

FIND X PLEASE

Answers

Answer:

x=11.2

Step-by-step explanation:

x/16=7/10

x=7/10×16

x= 11.2

Step-by-step explanation:

First, let's write down the equation properly:

[tex] \frac{x}{16} = \frac{7}{10} [/tex]

Then we follow these simple steps to solve the equation to find the value of x.

Cross multiply fractions.

10x = 112

Divide both sides by 10.

x = 11.2

Which set of ordered pairs does not represent a function?
{(8,-2), (6,-1), (4,1), (0,1)}
{(8,4), (1,5), (-7,7), (9,5)}
{(4,-6), (-3,2), (7,-1), (-6, -4)}
{(-9,3), (8,7), (-9, -9), (2, 4)}

Answers

Answer:  Choice D

{(-9,3), (8,7), (-9, -9), (2, 4)}

=======================================================

Explanation:

To find an example of a non-function, we look for (x,y) points where x repeats itself. That occurs in choice D where we have (-9,3) and (-9,-9) in the same function set.

The input x = -9 leads to multiple outputs y = 3 and y = -9 simultaneously. This is not allowed if we wanted a function.

A function is only possible if each input x leads to exactly one y output.

So this is why we look for repeated x values when trying to find non-functions. Choices A, B and C all have unique x values that don't repeat, which means those choices represent functions.

Side note: The y values can repeat, but the function won't be one-to-one.

find the unit rate if suzie reads 45 books in 15 days
​

Answers

Step-by-step explanation:

she reads 45 books in 15 days.

so, the reading rate is 45/15.

now, a ratio is just a fraction with a special meaning, but calculations, simplifications and so on are all the same.

so,

45/15 = 9/3 = 3/1 = 3

that means she reads 3 books in 1 day.

Use the expression 11 + 9k + 6n. Tell whether each statement is True or False. T or F: the expression has 3 terms. T or F: In the expression, 11 is a coefficient. T or F: In one of the terms, 6 is a factor. T or F: The expression has two variables.

Answers

The classification of the terms in the expression is given as follows:

True: the expression has 3 terms.True: in the expression, 11 is a coefficient.True: In one of the terms, 6 is a factor.True: The expression has two variables.

First statement

In an addition, each term involved in the addition is called a term. Hence, the expression has three terms, which are given as follows:

11.9k.6n.

Hence the first statement is correct.

Second statement

The coefficients of the expression are:

11.9.6.

Hence the second statement is correct.

Third statement

In the third term, 6n is divisible by 6, hence six is a factor of the term, and the third statement is correct.

Fourth statement

The variables of the expression are k and n, hence two variables, and the fourth statement is correct.

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