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Serga [27]
3 years ago
12

Help please. Give the slope of y - 3 = 4(x + 8) and a point on the line

Mathematics
1 answer:
Sauron [17]3 years ago
4 0
-----------------------------------------------------------
Make y the subject :
-----------------------------------------------------------
y - 3 = 4(x + 8)      
y - 3 = 4x + 32           // Apply distributive property
y = 4x + 35                // Add 3 to both sides

-----------------------------------------------------------
Identify Slope : 
-----------------------------------------------------------
Slope = 4

-----------------------------------------------------------
Find a point on the line :
-----------------------------------------------------------
When x = 0, 
y = 4(0) + 35              // Sub x = 0 into the equation 
y = 35                         // Combine like terms
Point = (0, 35)

-----------------------------------------------------------
Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
-----------------------------------------------------------
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y = \frac{3}{8} x +  \frac{5}{2}

Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

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y =  mx + b \\  \\ 4 =  \frac{3}{8} (4) + b \\  \\ 4 =  \frac{3}{2}  + b \\   \frac{ -  \frac{ 3}{  2} =  -  \frac{ 3}{ 2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }{ \frac{5}{2} = b }

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2 years ago
Can I name my Angle VTS as STV? And use it interchangeably in proving?
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Suppose △PKN≅△BGH△PKN≅△BGH. Which other congruency statements are correct? Select each correct answer. △NKP≅△HBG△NKP≅△HBG △KPN≅△
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