Question

What is the equation of the line that passes through the point (1,3) and has a slope
of -1?

Answer 1

y = -x + 4

Explanation:

to find the equation of a straight line with the slope and a pair of coordinates given the equation is

y - y1 = m(x - x1)

where x is the slope

x1 and y1 are the coordinates given

By substitution,

y - 3 = -1(x -1)

y - 3 = - x + 1

y = - x + 1 +3

y = -x + 4