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gavmur [86]
2 years ago
15

A line includes the points (7,4) and (8,6). What is it’s equation in slope- intercept form?

Mathematics
1 answer:
coldgirl [10]2 years ago
3 0

Answer:

Step-by-step explanation:

First you have to find the slope

M= y2-y1/ x2-x1.

6-4 / 8-7 = 2/1 or 2

Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.

I will choose (6,4)

Slope intercept formula is y-y1 =m(x-x1)

Y-4=2(x-6)

Then you simplify.

Y-4=2x-12

+4. +4

Y=2x-8 is your solution.

You might be interested in
the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
9966 [12]

Answer:

first term a=4

Step-by-step explanation:

Sum of the first 6 terms S6 = 15624

common ratio r= 5

n= 6

first term a=?

Formula: S6= a(r^n-1)/r-1

15624 = a( 5^6-1)/5-1

15624 = a(15625-1)/4

15624= a( 15624)÷4

15624= 15624a÷4

Cross multiply

15624×4 = 15624a

62496 = 15624a

divide both sides by 15624

62496÷15624 = 15624a÷15624

4 = a

a= 4

7 0
3 years ago
una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la
seropon [69]

Answer:

The formula for calculating the width of the window is

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

P=2(l+w)

we have

P=6\ m

so

6=2(l+w)

simplify

3=(l+w)

isolate the variable l

l=3-w ----> equation A

The area of the window is equal to

A=lw

we have

A=2\ m^2

so

2=lw ----> equation B

substitute equation A in equation B

2=(3-w)w

solve for w

2=3w-w^2

w^2-3w+2=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

w^2-3w+2=0

so

a=1\\b=-3\\c=2

substitute in the formula

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}  --->  formula for calculating the width of the window

w=\frac{3(+/-)\sqrt{1}} {2}

w=\frac{3(+/-)1} {2}

w=\frac{3(+)1} {2}=2\ m

w=\frac{3(-)1} {2}=1\ m

7 0
3 years ago
If bd is both the altitude and median of abc then abs is
AVprozaik [17]

Answer:

isosceles

Step-by-step explanation:

4 0
3 years ago
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw
GrogVix [38]

Answer:

1/15

Step-by-step explanation:

1/5+3+2        all of the marbles

2/10              odds of drawing an orange marble(bc 2 orange marble)

3/9                 because to get 3 green and 1 marble is removed and 9 is total          marbles left

2/10*3/9=1/15  muliply  odds because 2 draws of marbles    

6 0
3 years ago
If ABCD is dilated by a factor of 3, the
vaieri [72.5K]

Answer:

i think it would be (6, -6)

Step-by-step explanation:

if the letter d is already at (2, -2) you have to multiply those numbers by 3. that gives the coordinates (6, -6)

6 0
3 years ago
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