Question

Find the equation of a straight line passing through (-8,4) and making equal intercepts on the coordinate axes​

Answer 1

Answer:

x + y + 4 = 1

Step-by-step explanation:

x/a + y/b = 1--------(1) for two intercept form

given that a=b

x/a +y/a= 1 ---------(2)

since point (-8,4) lies on the line... then it must satisfy the equation of line

2>>> (-8)/a + (4)/a =1

lcm

(-8+4)/a = 1

-4 = a

now put a in equation (2)

x/(-4) + y/(-4) = 1

x + y = -4

x + y + 4 = 1