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zvonat [6]
3 years ago
9

Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)

Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept. 

First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)

Now we simplify 
m = 7 ÷ 9 

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)
Simora [160]3 years ago
7 0
Hello!

First of all we need to find the slope. We can use the equation below.

\frac{ y_{2}- y_{1}  }{ x_{2} - x_{1} }

The ones and twos just represent a y or x value from one of the ordered pairs, so for example on ordered pair could represent the ones(note that the ones and twos can be switched and the slope will remain the same).

In our case we will have (-5,-2) be (x_{1} ,y_{1}) and (4,5) be (x_{2} ,y_{2}). We will plug this into the equation.

\frac{5+2}{4+5} = \frac{7}{9}

Therefore the slope of our line is 7/9.
------------------------------------------------------------------------
Now we need to find the y-intercept to have the equation for our line. We will put the slope and two points from the line into slope intercept form and solve for b (we will use (4,5)).

5=4(7/9)+b
5-b=3 1/9
5+(-b)=3 1/9
-b=-2 1/9
b=2 1/9

Now that we have our value for b we will put it in slope intercept form.

y=7/9x+(2 +1/9)

I hope this helps!



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A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for $11.20. What was the
Mrac [35]
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Let p represent the original price

.70 × p=11.20

to solve this, we'd isolate the variable (p) 

p=11.20 ÷.70

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7 0
3 years ago
What is 12925 rounded to the nearest ten thousand
otez555 [7]
Your answer is 13,000
because the 9 is closer to the next digit than to 0
6 0
3 years ago
Read 2 more answers
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra
AlladinOne [14]

The correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

<h3>What is  y-value?</h3>

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

Learn more about Y-value from:

brainly.com/question/3319387

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8 0
1 year ago
If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram
Charra [1.4K]

ANSWER

139°

EXPLANATION

One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.

This means that, the adjacent interior angles add up to 180°.

If

m \angle \: B = m \angle \: D = 41

Then

m \angle \: C +  m \angle \: D = 180 \degree

OR

m \angle \: B +  m \angle \:C= 180 \degree

\implies41 \degree +  m \angle \:C= 180 \degree

\implies m\angle \:C= 180 \degree - 41 \degree  = 139 \degree

8 0
3 years ago
Read 2 more answers
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