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liubo4ka [24]
3 years ago
6

Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)

Mathematics
1 answer:
Georgia [21]3 years ago
7 0
(-2,7) and (14,21)

Find the slope by using the formula m =  \frac{y2 - y1}{x2 - x1}

Plug in the numbers. m = \frac{21 - 7}{14 - - 2} 
 \\  m= \frac{14}{16}  =  \frac{7}{8} 


Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
   + 7            +7

y = 7/8x + 8.75

Our final equation would be: <span>y = 7/8x + 8.75</span>

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The population of a town can be modeled by the regression equation y=18,000(1.04^x). Which is the best prediction for the popula
ANEK [815]
X= 30
y=18,000(1.04³⁰)=18,000(3.24339751)≈58381

answer: B)58,381
4 0
3 years ago
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An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y                  (eldest)

m=16000+y       (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500                 ...or $298500

m=16000+149250=165250         ...or $165250

y=149250                                      ...or $149250

Add all those numbers up, and you reach $613000.

7 0
3 years ago
What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?​
Setler [38]

Answer:

y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2}) point-slope form

13x+3y=11 (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using \frac{y_2-y_1}{x_2-x_1} provided you are given two points on the line.

We are.

Now you can use that formula.  But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

 (4/5  ,  1/5)

-( 1/2  ,  3/2)

-----------------

3/10          -13/10

2nd/1st = \frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3} is our slope.

So the following is point-slope form for a linear equaiton:

y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }    

Plug in a point (x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}.

This gives:

y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})

I'm going to distribute:

y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

6y-9=-26x+13

Add 26x on both sides:

26x+6y-9=13

Add 9 on both sides:

26x+6y=22 This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

13x+3y=11 (standard form)

7 0
3 years ago
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Evaluate 16a−b when a=1 over 2 and b=7
Stels [109]

Answer:

1

Step-by-step explanation:

16 * 1/2 = 8

8 - 7 = 1

3 0
3 years ago
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What is the area of the triangle? 5 in. 3 in 4in O 6 square inches O 7-square inches O 10 square inches O 12 square ches ​
WARRIOR [948]

Answer:

-------------------Heya Kjowanpreet!--------------

\large{ \tt{ \star\: S \: O \: L \: U \: T \: I \: O \: N : }}

GiveN :

  • Sides of the triangle : 3 in , 5 in and 4 ft

To FinD :

  • Area of the provided right angled triangle

FormulA :

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SolvinG :

\large{ \boxed{ \bf{Area \: of \:right \: angled \: triangle : \frac{1}{2} b \times p  }}}

\longrightarrow{  \tt{} \frac{1}{2}  \times 3 \times 4}

\longrightarrow{ \boxed{ \tt{6 \: in ^{2} }}}

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-------------HappY LearninG <3 ---------------

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2 years ago
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