Answer:
The line which is parallel to the given line
is
![y=-(\bf 4)/(\bf 3)x+{\bf 2}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/imhiipszasrsgq6e1rgurgxt8dfi5q9t7w.png)
Explanation:
Given that the equation of the line is
![y=-(4)/(3)x+1\hfill (1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ajspr7u8tgqrsba60batwogdw8m69y5dei.png)
To find the equation of the line is parallel to the given line equation.
We know that the given equation is in the slope intercept form
y=mx+c where m is the slope and c is the intercept.
Compare with given equation(1) we get
and c=1
Now change the y intercept c=1 to a intercept of c= 2
Therefore (1) becomes
![y=-(4)/(3)x+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n81m7fmjuybz2z79bkkue13d0i8jqe4zri.png)
The above equation of the line is the parallel line to the given equation of the line