Question

Find the y-intercept and x-intercept of the line.
– 3x+9y= 14

Answer 1

`\huge\boxed{x-intercept=-(14)/(3)=-4(2)/(3)}\\\boxed{y-intercept=(14)/(9)=1(5)/(9)}`

Explanation:

`-3x+9y=14\\\\x-intercept\ \text{for}\ y=0:\\\\-3x+9(0)=14\\-3x+0=14\\-3x=14\qquad\text{divide both sides by (-3)}\\\boxed{x=-(14)/(3)=-4(2)/(3)}}`

`y-intercept\ \text{for}\ x=0:\\\\-3(0)+9y=14\\0+9y=14\\9y=14\qquad\text{divide both sides by 9}\\\boxed{y=(14)/(9)=1(5)/(9)}`