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zvonat [6]
4 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]4 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]4 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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Answer:

9.8 lbs

Step-by-step explanation:

4 1/3 + 5 5/6= 10 1/6

20 - 10 1/6 = 9.8

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2 years ago
Someone plz help me 1-1\2c=6
GarryVolchara [31]

1 - 1/2c = 6

1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)

-1/2c = 5 (next do the inverse operation)

c = 5 ÷ 1/2

c = -10

to check your answer substitute the value of c in the equation;

1- 1/2c = 6

1- 1/2(-10) = 6

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6 0
3 years ago
What is the value of this expression? 4/15+3/5−2/3 Enter your answer in the box as a fraction in simplest form.
forsale [732]

Answer:

\frac{4}{15}  +  \frac{3}{5}  -  \frac{2}{3}

\frac{4 \times 1}{15 \times 1}  +  \frac{3 \times 3}{5 \times 3}  -  \frac{2 \times 5}{3 \times 5}

\frac{4}{15}  +  \frac{9}{15}  -  \frac{10}{15}

\frac{4 + 9 - 10}{15}

\frac{13 - 10}{15}

\frac{3}{15}

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hope it helps you :)

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7 0
3 years ago
Read 2 more answers
Solve the linear system of equations <br> 8x−4y=20 5x−8y=62 <br> x= <br> y=
LUCKY_DIMON [66]

Answer:

x = -2

x = -9

Step-by-step explanation:

The linear system is:

8x - 4y = 20 ⇒ (1)

5x - 8y = 62 ⇒ (2)

To solve the system multiply equation (1) by -2 to make the coefficients of y equal in values and different in signs, then add the resulting equation with equation (2)

∵ -2(8x) + -2(-4y) = -2(20)

∴ -16x + 8y = -40 ⇒ (3)

- Add equation (2) and (3)

∴ -11x = 22

- Divide both sides by -11

∴ x = -2

Substitute the value of x in equation (1) or (2)

∵ 8(-2) - 4y = 20

∴ -16 - 4y = 20

- Add 16 to both sides

∴ - 4y = 36

- Divide both sides by -4

∴ y = -9

3 0
3 years ago
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