Write the equation of the line passing through (7,-4) and (-1,2) in slope intecept form

Answers

Answer 1
Answer:

Answer: y = (-3x)/(4)  + (5)/(4)

Step-by-step explanation:

Using the formula for finding equation of a line :

(y_(2) - y_(1) )/(x_(2)- x_(1)) = (y - y_(1) )/(x - x_(1) )

From the question:

X1 = 7

X2 = -1

Y1 = -4

Y2 = 2

Substituting into the formula , we have

(2 - (-4))/(-1 - 7) = (y - (-4))/(x - 7)

(6)/(-8) = (y+4)/(x - 7)

(-3)/(4) = (y+4)/(x - 7)

4( y + 4) = -3 ( x - 7)

4y + 16 = -3x + 21

4y        = - 3x + 21 - 16

4y        = - 3x + 5

y           = -3x/4  + 5/4

Answer 2
Answer:

Answer:

y=-3/4x+5/4

Step-by-step explanation:


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What 18.194 rounded to the nearest tenths

Answers

18.2 because the tens place is right after the dot and you would bring the number up because 9 is higher than five.
18.194 rounded to the nearest tenth is 18.2

3 names for a square

Answers

Three names for a square are:
1) parallelogram because it has 2 pairs of parallel sides.
2) polygon because it is a closed figure with at least 3 sides.
3) quadrilateral because it has 4 sides.
rectangle
qauterlagram
pallagam

What property describes the number sentence 6+0=6

Answers

i think that the answer is correct because any number plus zero is the number

Write a slope incercept equation passes through (-3, 2) and (-2, -1)​

Answers

Answer:

y = - 3x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)

m = (-1-2)/(-2+3) = (-3)/(1) = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, - 1), then

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = - 3x - 7 ← equation in slope- intercept form

Gloria bought each of her three younger siblings a movie ticket find total cost of a movie ticket if each ticket cost $9.75 justify your answer by using the distributive property.

Answers

$29.25 because since each ticket costs $9.75 for three kids, then in total it will be $29.95
find the answer to 9.75 x 3.
this is how you would use the distributive property 3(9.75)

Laura decides to walk to her job. She walks 1 1/2 miles in 3/5 hour. What is Laura’s walking rate? Laura Job is 4 1/2 Miles away if she starts walking tour job at 9:00 AM and schedule to start working at 11:00 AM will she arrive at her job on time

Answers

1.5 miles/ .6 hours =  2.5 miles per hour

her walking rate is 2.5 miles per hour

d= r * t

4.5 miles = 2.5 * t

divide each side by 3.5

4.5 /2.5 = t

1.8 = t

t = 1.8 hours

11 am  - 9 am = 2 hours

She will make it to work on time because 1.8  hours < 2 hours