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2 years ago

(-2, 1/2), (1, -2/3) Find the equation of the line

Mathematics

1 answer:

Luda [366]2 years ago

4 0

9514 1404 393

Answer:

7x +18y = -5

Step-by-step explanation:

The slope is ...

m = (y2 -y1)/(x2 -x1)

m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18

The y-intercept is ...

b = y -mx

b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18

Then the slope-intercept form of the equation is ...

y = -7/18x -5/18

Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...

7x +18y = -5

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(-2, 1/2), (1, -2/3) Find the equation of the line​

(-2, 1/2), (1, -2/3) Find the equation of the line