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Rzqust [24]
3 years ago
9

Find the slope of a line through a pair of points (2,-3) and (8,4)

Mathematics
1 answer:
vredina [299]3 years ago
4 0
Slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6
You might be interested in
A line has a slope of -3/2 and has a y-intercept of 3. What is the x-intercept of the line?
timofeeve [1]

Answer:

x = 2

Step-by-step explanation:

the equation of the line can be found using the slope intercept form

y = mx +b

y= -3/2 x + 3

x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so

0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would

-3 = -3/2 x  (divide by -3/2 on both sides to cancel out the -3/2)  

x = 2

5 0
3 years ago
When adding or subtracting with scientific notation,why is it important to have the same power of 10?
sladkih [1.3K]
<h2>Explanation:</h2><h2></h2>

Because we perform something like common factor, so this guarantee that corresponding digits have regarding coefficients have the same place value. Remember that a number written in scientific notation is given by the product of a number between 1 and 10 and another number that is power of 10. For example, let's write two examples about this:

Addition:

a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =5\times 10^3

Addition:

a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =6\times 10^3

Subtraction:

a=7\times 10^5 \\ \\ b=2\times 10^5 \\ \\ \\ Then: \\ \\ a-b=7\times 10^5-2\times 10^5 \\ \\ =(7-2)\times 10^5 \\ \\ =5\times 10^5

4 0
3 years ago
Write a polynomial with the zeros equaling to -1,1,8
Andreyy89

Answer:x³-8x²-x+8

Step-by-step explanation:

x are equal to -1,1,8 respectively

to form the polynomials just simply use this method put (x-)to the given numbers that are zeros of the polynomials

(x-(-))(x-1)(x-8)

(x+1)(x-1)(x-8) →(x+1)(x-1) are diff. of two squares (x²-1)

(x²-1)(x-8)

x²(x-8)-1(x-8)

p(x)=x³-8x²-x+8

4 0
3 years ago
ABC = DEF What corresponds with B?
ruslelena [56]

Answer:

answer is C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
briana house is at (1,6) and jordan house is(5,3) what is one possible path from brianna house to jordan house
Maurinko [17]

Answer:

see the explanation

Step-by-step explanation:

Let

A (1,6)------> location Brianna's house on a map

B (5,3)------> location Jordan's house on a map

we know that

One possible path from Brianna's house to Jordan's house it's a straight line  ( the shortest distance)

using a graph tool

see the attached figure

<em>Find the distance points AB</em>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

d_A_B=\sqrt{(3-6)^{2}+(5-1)^{2}}

d_A_B=\sqrt{(-3)^{2}+(4)^{2}}

d_A_B=\sqrt{25}

d_A_B=5\ units

The distance from Brianna's house to Jordan's house is 5 units

6 0
3 years ago
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