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To find x-intercept just need to put 0((zero)) instead of y in the equation.
Thus :
![- 6x + 3(0) = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/5y28hrouphdg1eqzirqrjgk8z2k5liyoz7.png)
![- 6x + 0 = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/mkxd2b5iarahptn2nav15byvsv8p83h899.png)
![- 6x = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/tkdkca9zck83lzc33t20ndscau2bv2ai2i.png)
Divided sides by -6
![( - 6)/( - 6)x = (18.9)/( - 6) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/t059higtknbssyqhwmct67ke23jet00utd.png)
![x = - 3.15](https://img.qammunity.org/2021/formulas/mathematics/high-school/qxdr9f1b38kd95h0ylf66rgqzqcz7k2a06.png)
This is the x-intercept.
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To find y-intercept just need to put 0((zero)) instead of x in the equation.
Thus :
![- 6(0) + 3y = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/7brhip7um0z9vg1e83j8fkv5wmb9gk9wdq.png)
![0 + 3y = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/g4p74wk05vdrr34uk4snzgzv3t00xd8q89.png)
![3y = 18.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/41faeguen3ymqfkn5w09qvqqynaz356wz0.png)
Divided sides by 3
![(3)/(3)y = (18.9)/(3) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/wopl4sil6bqx63s2rqnekubdubeoy1avif.png)
![y = 6.3](https://img.qammunity.org/2021/formulas/mathematics/high-school/kzsd5wenrgfiyoqvwsmhbds7kckgtj8ili.png)
This is the y-intercept.
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