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Allushta [10]
3 years ago
12

Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)

left parenthesis, minus, 3, comma, minus, 3, right parenthesis.Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

The equation of the line passing through the given points is:

y=-\frac{8}{3}x-11

Step-by-step explanation:

Given:

The two points are: (x_1,y_1)=(-6,5)\textrm{ and }(x_2,y_2)=(-3,-3)

The equation of a line when two points are given is:

y-y_1=\left (\frac{y_2-y_1}{x_2-x_1} \right )(x-x_1)

Plug in all the values and simplify.

y-5=\left (\frac{-3-5}{-3-(-6)} \right )(x-(-6))\\y-5=\left (\frac{-8}{-3+6} \right )(x+6)\\y-5=\left (\frac{-8}{3} \right )(x+6)\\y-5=\frac{-8}{3}x-16\\y=\frac{-8}{3}x-16+5\\\\y=-\frac{8}{3}x-11

Therefore, the equation of the line passing through the above points is

y=-\frac{8}{3}x-11

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Answer:

Step-by-step explanation:

1. -7 = w + 5

w = -12

(-12 + 5 = -7)

2. -4p + 38 = 10

           -38     -38

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/-4        /-4

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Read 2 more answers
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