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umka2103 [35]
3 years ago
6

A line passes through (3, –2) and (8, 2).

Mathematics
1 answer:
EleoNora [17]3 years ago
6 0
The point-slope form:
y-y_1=m(x-x_1)
m - slope
(x₁,y₁) - point

(3,-2) \\
x_1=3 \\ y_1=-2 \\ \\
(8,2) \\
x_2=8 \\ y_2=2 \\ \\ \hbox{the slope:} \\
m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{8-3}=\frac{2+2}{5}=\frac{4}{5} \\ \\ \hbox{the point-slope form:} \\
y-y_1=m(x-x_1) \\
y-(-2)=\frac{4}{5}(x-3) \\
\boxed{y+2=\frac{4}{5}(x-3)}

\hbox{the standard form:} \\
y+2=\frac{4}{5}(x-3) \\
y+2=\frac{4}{5}x-\frac{12}{5} \\
-\frac{4}{5}x+y=-\frac{12}{5}-2 \ \ \ |\times 5 \\
-4x+5y=-12-10 \\
\boxed{-4x+5y=-22}

The answer is D.
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8х + 5у = -7<br> — 7х + бу = — 4
Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

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Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

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⇒-83y=32+49

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⇒y= 81 / -83

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Answer:

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Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

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  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

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(b). Since, NR divides ∠MNP and ∠QNS,

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     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

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