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
Savatey [412]
3 years ago
6

A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slo

pe-intercept form
Mathematics
2 answers:
Dovator [93]3 years ago
5 0
 y-y1 x-x1 -------- = ------- y2-y1 x2-x1 
y-(-5) x-1 ------- = ---- 7-(-5) -3-1 
y+5*(-4)=12*(x-1) -4y-20=12x-12 12x+4y+8=0 /4 3x+y+2=0


 why: To form an linear equation for a line, you must remember 2 things 
****First find its gradient, second, find the y-intercept. 
General equation for a line: y = mx + c, where m = gradient, and c = y-intercept. 
Gradient, m = {7 - (-5)} / {(-3) - 1} = - 3 
To find the y-intercept, you must use one of the point (-3, 7) or (1, -5) and substitute the value of x and y from the coordinate u choose into the general equation y = mx + c. 
I choose (1, -5), so -5 = -3(1) + c -5 = -3 + c -5 + 3 = c -2 = c 
Thus, 
the equation in slope-intercept form is y = -3x - 2. 
the equation in standard form is y + 3x + 2 = 0 
the equation in point-slope form is y + 3x = -2 divide both sides with -2 y / (-2) + 3x / (-2) = -2 / -2 - y / 2 - x / (2/3) = 1

Elena L [17]3 years ago
5 0

Answer:

(a) y-(-5)= -3(x-1)

(b) y = -3x -2

Step-by-step explanation:

Point slope form is

y-y1= m(x-x1)

Where m is the slope

slope formula is \frac{y_2-y_1}{x_2-x_1}

(x1,y1) is (1, –5) and (x2,y2) is  (–3, 7)

m=\frac{7-(-5)}{(-3)-1}

m=\frac{-12}{4}=-3

use m=-3 and point (1,-5)

y-y1= m(x-x1)

(a) Point - slope form is

y-(-5)= -3(x-1)

(b) Rewrite the equation in slope-intercept form, solve for y

y+5 = -3x + 3

Subtract 5 on both sides

y = -3x -2

You might be interested in
Ray is x years old. His brother Ron is y years older than Ray.
Daniel [21]
The sum will be x+y because their ages are variables.
8 0
3 years ago
Read 2 more answers
Computer purchases: Out of 809 large purchases made at a computer retailer, 347 were personal computers, 398 were laptop compute
Luda [366]

Step-by-step explanation:

personal- 347 ÷ 809 = 0.43%

lap top- 398 ÷ 809 = 0.49%

printer- 64 ÷ 809 = 0.08%

6 0
3 years ago
Directions: Simplify the following expressions using the imaginary number.
drek231 [11]

Answer:

1  i(sqrt5)

2  7i

3  -9i

4  -64i

5  -5i(sqrt2)

6  -4i(sqrt3)

7  10i(sqrt3)

8  2i(sqrt2)

9  3i(sqrt7)

10  -30i(sqrt2)

Step-by-step explanation:

i is the square root of (-1). We can simplify each one as such.

5 0
1 year ago
Please help no links!
slavikrds [6]

Answer:

10x5 1/2= 55 x 4= 220 so the answer is 220in3

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
~this is 8th grade~There were 325 competitors signed up for the pie eating contest. On the day of the big
MissTica

Answer:

45

Step-by-step explanation:

You just do 370-325

6 0
2 years ago
Other questions:
  • (3ײ+5y²)³=<br><br> (2y³-×5)²=
    5·1 answer
  • Round 2.12747677748 to the nearest ten-thousandth.
    6·2 answers
  • The number of days it takes a theater crew to set up a stage for a musical varies inversely as the number of
    5·1 answer
  • The dot plot shows the number of magazines sold determine the median of the date set
    13·1 answer
  • An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille
    14·1 answer
  • 16+x=-34<br><br> Solve the equation for the value of the variable show all work helpppp:)
    8·1 answer
  • For Anya's birthday her father gave out colorful birthday hats that were cone shaped. Anya was very happy that day. The opening
    15·1 answer
  • Put the following equation of a line into slope-intercept form simplifying all fractions .
    14·1 answer
  • Plz help I need help plz
    13·1 answer
  • You have $225 in your savings account. If you deposit $50 per month into your savings
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!