1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Salsk061 [2.6K]
3 years ago
15

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-i

ntercept form. (1 , 12) , (3, 2)
Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for the equation of a line in point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents the slope. The formula for determining slope is

Slope = (y2 - y1) /(x2 -;x1)

Where

y2 represents final value of y = 2

y1 represents initial value of y = 12

x2 represents final value of x = 3

x1 represents initial value of x = 1

Therefore,

Slope = (2 - 12)/(3 - 1) = - 10/2 = -5

Therefore, the point slope form would be

y - 12 = - 5(x - 1)

The equation for the slope-intercept form is expressed as

y = mx + c

Where c = intercept

To determine c, we would substitute m = - 5, x = 1 and y = 12 into y = mx + c. It becomes

12 = - 5 × 1 + c = - 5 + c

c = 12 + 5 = 17

The equation becomes

y = - 5x + 17

Andre45 [30]3 years ago
6 0

Answer:

The answer to your question is  a)      y - 2 = -5(x - 3)  

                                                      b)     y = -5x + 17  

Step-by-step explanation:

Data

A (1, 12)

B (3, 2)

Process

1.- Find the slope

Formula

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

Substitution

m = \frac{2 - 12}{3 - 1} = \frac{-10}{2} = - 5

2.- Find the equation in point slope form

Equation

                             y - y1 = m(x - x1)

Substitution and equation

                           y - 2 = -5(x - 3)

3.- Find the slope-intercept form

Expand the point slope form

                           y - 2 = -5x + 15

Simplify

                           y = -5x + 15 + 2

Equation

                          y = -5x + 17                                            

You might be interested in
Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
HELP PLEASE IM BEGGING YOU
andriy [413]

Answer:

75th term in the sequence is 227.

Step-by-step explanation:

75 term of A.P is

a_75= a+ (n-1)d

Given series is 5,8,11,14.

hence a= 5 d= 8-5 = 3 , a_75.

a_75 = 5+(75-1)3

= 5+ (74)3

= 5 +(222)

= 227

6 0
2 years ago
10x + (-8)= -3x + 2<br> How do I solve this in pemda order
larisa [96]

Answer:

x= 10/13

Step-by-step explanation:

First, we need to put the variable on one side and the constants on another side.

Also a positive and a negative equal a negative. [this is related to +(-8)]

10x+(-8)= -3x+2

+3x         +3x

13x-8=2

    +8  +8

13x=10

Finally you divide on both sides

13x/13=10/13

x= 10/13

I hope this is right! I tried my best

4 0
3 years ago
Find the slope of the line passing through the 2 points (-7,8), (-4,3
jeyben [28]

Answer:

5/-3

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

m = (8 - 3)/(-7 + 4)

m = 5/-3

3 0
2 years ago
A ___ of a function is a simple change to the equation of the function that results in a change in the graph of the function suc
Kamila [148]

Answer:

heyooo!!

transformation is the correct answer to fill in the blank with.

hope this helps!!!

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Can someone please solve the question above.
    12·1 answer
  • 2750 a reasonable answer for 917 x33 explain.
    5·1 answer
  • Quadrilateral PQRSis graphed in the coordinate plane.
    13·1 answer
  • ASAP IM IN DESPRITE NEED OF SLEEP How do I write an equation in slope intercept form based off of a pair of parallel lines?
    10·1 answer
  • A small amphitheater has 8 rows that have 42 seats in each row. If an act needs to keep the first row empty but has all the rest
    10·1 answer
  • in 6th grade, miguel read 15 books. In 7th grade, he read 21 books. What was the percentage change in the number of miguel read
    5·1 answer
  • Identify the FIVE numbers which have a square root that lies between the whole numbers 4 and 12 (Does not im
    12·1 answer
  • Pythagorean theorem?<br> Would be absolutely poggers if you can help with more than one!
    13·1 answer
  • Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
    12·1 answer
  • (1 point)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!