Question

The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line written in general form?

x - y + 5 = 0
x + y - 5 = 0
x - y - 5= 0

Answer 1

The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line written in general form?

Answer:

x+y-5=0

Answer 2

(0,5)(5,0)
slope = (0 - 5) / (5 - 0) = -5/5 = -1

y = mx + b
slope(m) = -1
(0,5)...x= 0 and y = 5
now we sub and find b
5 = -1(0) + b
5 = b

equation is : y = -x + 5......x + y - 5 = 0