write the equation of the line in general form whose x-intercept is 3 and y- intercept of 4.

Question

write the equation of the line in general form whose x-intercept is 3 and y- intercept of 4.

Answer 1

If the intercept with x axis is 3, then it passes through (3,0).

If the intercept with y axis is 4, then it passes throug (0,4)

With two points given, we can get the equation of the line replacing them in it's equation.

y = mx + b

0 = 3m + b ----> b = -3m

 

4 = -3m

m = -4/3

b = 4

 

y = (-4/3)x + 4

4/3x+y-4=0

The equation is:

4x+3y-12=0