Question

find the x and y intercepts of the graph -6x + 4y = 32 state your answers as while numbers or as improper fractions in simplest form

Answer 1

x intercept = -5.33

y intercept = 8

Explanation:

The given equation is ,

⇒ -6x + 4y = 32 ,

The standard form of the Intercept form is ,

⇒ x/a + y/b = 1 , where

• a is x intercept
• b is y intercept .

• Converting the equation :-

⇒ 2( -3x + 2y ) = 32

⇒ -3x + 2y = 16

⇒ -3x + 2y / 16 = 1

⇒ (-3x)/16 + 2y/16 = 1

⇒ -3x/16 + y/8 = 1

• Convert -3x/16 in x/a form

⇒ x/-5.33 + y/8 = 1 .

Therefore ,

• x intercept = -5.33
• y intercept = 8