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WITCHER [35]
3 years ago
14

Graph the following lines and write the equation in slope-intercept form. d Through the point (2,−4) with y-intercept of −2.

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
7 0

Check the picture below.

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\qquad \underset{y-intercept}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{2}}}\implies \cfrac{-2+4}{-2}\implies \cfrac{2}{-2}\implies -1

\bf \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}{(-4)}=\stackrel{m}{-1}(x-\stackrel{x_1}{2}) \\\\\\ y+4=-x+2\implies y=-x-2

AlexFokin [52]3 years ago
5 0

Answer:

y=-1x-2

Step-by-step explanation:

Equation of a line is y=mx+b

where m is the slope and b is the y intercept

Through the point (2,−4) with y-intercept of −2.

Y intercept is -2, the value of b is -2

(2,−4) is (x1.y1)  and b=-2

plug in the value in y=mx+b

-4=m(2)-2, solve for m

add 2 on both sides

-2=m(2)

divide 2 on both sides

m=-1

Equation of the line is

y=-1x-2

Graph the equation using point (2,-4) and y intercept (0,-2)

the graph is attached below

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Y = 4x – 18<br> y = -5x +9
adelina 88 [10]

Answer:

(3, -6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

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  4. Multiplication
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Equality Properties

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
  2. Multiply:                                                                                                             y = 12 - 18
  3. Subtract:                                                                                                            y = -6
5 0
3 years ago
Read 2 more answers
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AnnZ [28]
Cot(0.349)= 2.74804 is your answer
8 0
4 years ago
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Naddik [55]
Data:

<span>Number of shares: 500

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hat mid-cap          $18.94           $19.14

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1) Investment = number of shares * offer price = <em />500 * $ 19.14 = $ 9570

2) Total net value = profit +  investment = $6250 + $9570 = $15820

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3 years ago
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