Question

find the equation of the line whose x-intercept is 6 and y-intercept is -4.​

Answer 1

Answer:

2x-3y=12

Step-by-step explanation:

x/a + y/b = 1

where a and b are x and y intercepts respectively

Answer 2

Answer:

2x - 3y - 12 = 0

Step-by-step explanation:

Its x-intercept is 6, means it touches the x-axis at (6, 0).

Similarly, as y-intercept is -4, it touches the y-axis at (0, -4).

 Hence, slope = (-4-0)/(0-6)

                        = 4/6 = 2/3

Hence equation is:

⇒ y - 0 = (2/3)(x - 6)

⇒ 3y = 2(x - 6)

⇒ 3y = 2x - 12

⇒ 2x - 3y - 12 = 0