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WINSTONCH [101]
3 years ago
5

What is the equation for passing through (-2,2) and (5,3)

Mathematics
1 answer:
Reil [10]3 years ago
5 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ -2}} &,&{{ 2}}~) 
%  (c,d)
&&(~{{ 5}} &,&{{ 3}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{3-2}{5-(-2)}\implies \cfrac{3-2}{5+2}\implies \cfrac{1}{7}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=\cfrac{1}{7}[x-(-2)]
\implies 
y-2=\cfrac{1}{7}(x+2)
\\\\\\
y-2=\cfrac{1}{7}x+\cfrac{2}{7}\implies y=\cfrac{1}{7}x+\cfrac{2}{7}+2\implies y=\cfrac{1}{7}x+\cfrac{16}{7}
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#22 #24 and #26 HELP
Grace [21]
#22)
4(t - 8) + 20 = 5
Distribute the 4.

4t - 32 + 20 = 5
Combine like terms.

4t - 12 = 5
Add 12 to both sides.

4t = 17
Divide both sides by 4.

t = 4.25


#24)
17 = -5(3 + w) + 7
Distribute the -5.

17 = -15 - 5w + 7
Combine like terms.

17 = -8 - 5w
Add 8 to both sides.

25 = -5w
Divide both sides by -5.

w = -5


#26)
9 = -(r - 5) + 11
Distribute the -.

9 = -r + 5 + 11
Combine like terms.

9 = -r + 16
Subtract 16 from both sides.

-7 = -r
r = 7
7 0
3 years ago
The student council is planning for the prom. They have broken down their expenses in the graph below. If they decide they will
Hoochie [10]

Answer:

D

Step-by-step explanation:

1200=30%

1200/x=30%

1200*.3=400

400=x

6 0
3 years ago
3 less than the quotient of 20 and x
lions [1.4K]
To write this it would be 20/x-3. I hope this helped. :) 
5 0
3 years ago
Write the equation of each line in slope-intercept form.<br> (If possible please show work)
Alik [6]

Answer:

y = 5x - 4

Step-by-step explanation:

Step 1: Write known variables

m = 5

y = 5x + b

Step 2: Find <em>b</em>

6 = 5(2) + b

6 = 10 + b

b = -4

Step 3: Rewrite equation

y = 5x - 4

7 0
3 years ago
1. Which is an example of an algebraic expression?<br> 04(3 + 8)<br> 018²<br> 03-a<br> 021.4
mars1129 [50]

Answer:

03-a

Step-by-step explanation:

It's an algebraic expression cuz it has an unknown variable (a)

7 0
1 year ago
Read 2 more answers
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