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Answer:
![\displaystyle y-1=-(2)/(3)(x+5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qunjbxnkxbl1oewvgdlsetrdjvtbsunnne.png)
Explanation:
Equation of a line
Given the slope of a line (m) and a point through which it passes (h,k), the slope-point form of the line is determined as follows:
y-k=m(x-h)
We are given the point (-5,1) and the slope m=-2/3. The equation of the line is:
![\boxed{\displaystyle y-1=-(2)/(3)(x+5)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/zjel7yu2d7hn1gs9xthqcj5gnuobzxtpt7.png)