MATHEMATICS MIDDLE SCHOOL

what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)

Answers

Answer 1

Answer:

Answer:

y = $(3)/(8)$ x + $(41)/(8)$

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 )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = $(7-4)/(5+3)$ = $(3)/(8)$ , hence

y = $(3)/(8)$ x + c ← is the partial equation

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

using (5, 7 ), then

7 = $(15)/(8)$ + c ⇒ c = 7 - $(15)/(8)$ = $(41)/(8)$

y = $(3)/(8)$ x + $(41)/(8)$ ← equation in slope-intercept form

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remember to use SOH CAH TOA. THE SOLUTION THAT I GOT CAME OUT AS 15/8

Can someone help me . Thanks . Work is due tomorrow

Answers

1 = 4 angles
2 = perpendicular

Hope that helped ;)

Ms.stoner purchased a new computer for $1,150 at the Apple Store.if sales tax is 7.5%,what was the total of her purchase?

Answers

There is an additional 7.5% added to her purchase.
$1,150(1)+$1,150(7.5%) = [factor] $1,150(100%+7.5%) = $1,150(107.5%)= $1,150(1.075) =$1236.25

Answer:

Total=$1236.25

Step-by-step explanation:

Use successive differences to classify the function represented in the table as linear, quadratic, cubic or other. Show all your work. x –3 –2 –1 0 1 2 3 g(x) –29 –10 –3 –2 –1 6 25

Answers

Answer: The function shows by the table is cubic function.

Explanation: Since, the given values of the function are

f(x): –29 –10 –3 –2 –1 6 25

First difference: 19 7 1 1 7 19

Second difference: -12 -6 0 6 12

Third difference: 6 6 6 6

Since, here, the value in third difference is repeating to 6. Therefore, according to the definition of successive difference, equation must have three degree. So, it is a cubic equation.

Which one is greater 3.18 or 3.2