Question

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

Answer 1

x + y = 4

Step-by-step 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.