which equation represents the line that passes through the points (3, 7) and (-1, -1)?
Answers
points: (3, 7) and (-1, -1)
slope (m) :
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
========
[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]
[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]
[tex]\hookrightarrow 2[/tex]
Equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
==============
[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]
[tex]\rightarrow \sf y = 2x-6+7[/tex]
[tex]\rightarrow \sf y = 2x+1[/tex]
Answer:
[tex]y = 2x- 1[/tex]
Step-by-step explanation:
To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.
Determining the slope of the line:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]
Substituting the points in the slope formula:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
Simplifying the slope:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]
Determining the equation of the line:
We shall use point slope form to determine the equation of the line.
[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]
Substitute the slope and the coordinates of any two points stated above.
[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]
Simplify the equation and organize it to slope intercept form:
[tex]y -7= 2x- 6[/tex]
[tex]y = 2x- 6 + 7[/tex]
[tex]y = 2x+ 1[/tex]
Related Questions
Using only an addition, how do you add eight 8’s and get the number 1000?
Answers
888 + 88 + 8 + 8 + 8 = 1000
have a nice day!
888 + 88 + 8 + 8 + 8 = 1000
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Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.
In the figure, AD is perpendicular to BD, AC is perpendicular to BC, and AD ≅ BC.
Which of the following congruences is NOT necessarily true?
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Answers
Answer:
D) AD ≅ AEStep-by-step explanation:
According to given details the triangles ADB and BCE are congruent as per HL congruence
Lets verify the choices
∠DAB ≅ ∠CBA,
this is true as corresponding angles of congruent trianglesAE ≅ BE,
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Attached below is a picture with each fraction illustrated.
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Answers
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Question
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
h is unknown
8 ft is the diameter
Answers
Answer:
H = 5.0
Step-by-step explanation:
Using the formula
[tex]V=\pi r^{2} h[/tex]
Solving for h
[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]
Round to the nearest tenth
[tex]5.0[/tex]
3x^2+7x+14=-7x to the nearest tenth
Answers
Answer:
hope this helps
Step-by-step explanation:
3x^2+ 14 x+14= 0
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Does the budgeted amount cover the actual amount for expenses,savings,and emergencies? A. No it’s short $207.00 B.No it’s short $227.00 C.Yes,there’s a surplus of $207.00 D yes there’s is a surplus of 227.00
Answers
Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:
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The budget was $207 short, hence option A is correct.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
Graph to move right
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A. X+Y=
B. X+X+Y=
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Answers
Answer:
A. 10
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D. 80
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Step-by-step explanation:
A.
x + y
7 + 3
10
B.
x + x + y
7 + 7 + 3
14 + 3
17
C.
2x + 5y
2(7) + 5(3)
14 + 15
29
D.
8(x + y)
8(7 + 3)
8(10)
80
E.
15(2x + y + y)
15(2(7) + 3 + 3)
15(14 + 3 + 3)
15(17 + 3)
15(20)
300
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Answers
Answer:
I hope I answered your question!
Step-by-step explanation:
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Answers
Answer:
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Answers
Hey there!
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~Amphitrite1040:)
A spinner is divided into five colored sections that are not of equal size: red,
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Answers
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Answers
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Answers
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Step-by-step explanation:
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Answers
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Answers
Susan's monthly payment will be $117.93.
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
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Converting to vertex form:
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A
Step-by-step explanation:
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Answers
Answer:
partA option B is the correct answer
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A) 16 ounces of jasmine rice costs $4.80.
B) 32 ounces of white rice costs $6.40
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D) 9 ounces of brown rice costs $1.80
Answers
Answer:
A) k = 0.3Step-by-step explanation:
Find the constant of proportionality k in each case and compare
y = kxA)
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#A
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6.4/320.2#C
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Answers
Answer:
500
Remember the rounding rule for the ones place...
0 to 4? Round down or keep the same.
5 to 9? Round up.
__________________________________________________________
Questions?Ask in comments.
Condos in Padre Island increase in value by 7% each year. If the Garza's family's condo is now worth
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