The x and y–intercepts of the line 2x – 3y + 6 = 0, respectively are

Question

Philoid · Accepted Answer

The x –intercept can be found by substituting y = 0 in the equation 2x–3y + 6 = 0.

⇒ 2x –3(0) + 6 = 0

⇒ 2x + 6 = 0

⇒ 2x = –6

⇒

Now to calculate the y–intercept,substitute x = 0 in the equation 2x–3y + 6 = 0.

i.e.2(0)–3y + 6 = 0

⇒ –3y + 6 = 0

⇒ –3y = –6

⇒

∴ x–intercept is –3 and y– intercept is 2 i.e.(–3,2).