How to write the equation of the line in the form AX+BY=C if (-6, 6) and (3, -4)?

utopizemtzzt

utopizemtzzt

Answered question

2023-02-16

How to write the equation of the line in the form AX+BY=C if (-6, 6) and (3, -4)?

Answer & Explanation

ice0ver13zdi8

ice0ver13zdi8

Beginner2023-02-17Added 3 answers

Slope-intercept form is what we employ:
m ( x - x 1 ) = y - y 1
This formula is used to determine the slope:
m = x 2 - x 1 y 2 - y 1
m = - 4 - 6 3 - ( - 6 )
m = - 10 9
We let x 1 = - 6 and y 1 = 6
- 10 9 ( x - ( - 6 ) ) = y - 6
- 10 9 ( x + 6 ) = y - 6
- 10 9 x - 20 3 = y - 6
- 10 9 x - 2 3 = y
- 2 3 = y + 10 9 x
- 2 3 = 10 9 x + y
We see that A = 10 9 , B = 1 , and C = - 2 3

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