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solmaris [256]
3 years ago
11

I beg someone helps me with this

Mathematics
1 answer:
ladessa [460]3 years ago
6 0
Okay well uhm i’m sorry
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What is the equation of the line that goes through (-3,-1) and (3,3)?
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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)

m = \frac{3+1}{3+3} = \frac{4}{6} = \frac{2}{3}, thus

y = \frac{2}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 3), then

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y = \frac{2}{3} x + 1 ← equation of line

Multiply through by 3

3y = 2x + 3 ( subtract 3y from both sides )

0 = 2x - 3y + 3 ( subtract 3 from both sides )

- 3 = 2x - 3y, that is

2x - 3y = - 3 ← in standard form

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Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has tr
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