JeanneU151564 JeanneU151564
  • 03-11-2022
  • Mathematics
contestada

The line with a slope of -1 and that contains the point (1, 3).Find the equation of the line in standard form.

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ZaharP574132 ZaharP574132
  • 03-11-2022

ANSWER

x + y = 4

EXPLANATION

The standard form of a linear equation is given as:

ax + by = c

To do this, we have to find the equation of the line using point-slope method:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through

m = slope

The given slope is -1 ad the point the line passes through is (1, 3).

Therefore, we have:

y - 3 = -1(x - 1)

y - 3 = -x + 1

=> x + y = 1 + 3

x + y = 4

That is the equation of the line in standard form.

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