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jenyasd209 [6]
2 years ago
10

Find the equation of the line that passes through (1, -1) and is parallel to

Mathematics
1 answer:
daser333 [38]2 years ago
8 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1

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Step-by-step explanation:

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2 years ago
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Answer:

False

Step-by-step explanation:

Given that a high school reports that its​ students' SAT scores were down by 12​% in one year. The next​ year, however, the test scores rose by 20​%.

Let score initially be 100

Down by                     12

Next year score         88

For succeedingyear

increase is 20%        =20% of 88=17.6\\

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3 years ago
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients
pickupchik [31]

Answer:

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Step-by-step explanation:

y\^ \ \ = -0.45 + 3.78(x)  -11.88(d_1) + 5.25(d_2)

For point a:

Calculating the value for y\^  \ \  x = 212,\ \  d_1 = 1, and  \ \ d_2 = 0

y\^  = -0.45 + 3.78(212)  -11.88(1) + 5.25(0)

     = -0.45 + 801.36 -11.88 + 0\\\\= 789.03  

For point b:

Calculating the value of y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1

y\^  = -0.45 + 3.78(212)  -11.88(0) + 5.25(1)  

    = -0.45 + 801.36 -0 + 5.25\\\\= 806.16

3 0
3 years ago
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