All categories

3 years ago

Find the slope between the pair of points (1,3) and (7,2)

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

Answer:

$\bold{m=-\dfrac16}$

Step-by-step explanation:

$\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}$

(1, 3) ⇒ x₁ = 1, y₁ = 3

(7, 2) ⇒ x₂ = 7, y₂ = 2

So the slope:

$\bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}$

You might be interested in

Write the equation of the graph in slope-intercept form

Ede4ka [16]

Y=-3x+4
slope is -6/2=-3
y-intercept 4

3 0

3 years ago

Read 2 more answers

What’s the sum of interior angles of a 45-gon?

Mashutka [201]

Answer:

Step-by-step explanation:

As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .

7 0

3 years ago

1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)

MrMuchimi

$f(x)=4^{x-1}$ is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = $4^n$ f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16

f(4)= 64

f(4)= $4^2$

f (5) = $4^2$ x 16

f (5) = $4^2$ x $4^2$

f(5)= $4^4$

Similarly,

F(6) = $4^5$

Hence, $f(x)=4^{x-1}$

4 0

3 years ago

GIVING BRIANLIEST PLS HELP

Ivenika [448]

Step-by-step explanation:

a) Line AB ll DC

b) Line GH acts as a transversal.

c) <10 ; <12 , <9 ; <11

d) <8 = 180° - 120° = 60°(Ans)

<6 = 120°(Ans)

<5 = 60°(Ans)

<4 = 60°(Ans)

<3 = 120°(Ans)

<2 = 120°(Ans)

<1 = 60°(Ans)

5 0

3 years ago

Read 2 more answers

If A = {1, 2, 3} and B = {1, 2, 2, 3}, is B ⊆ A? If so, is A = B?

Serjik [45]

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

4 0

2 years ago