Answer:
y =
![(-1)/(2) x+(-1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a5ebij3dvh7z6bc49dat8tm9c6o35h5hep.png)
Explanation:
Standard equation in point slope form is :
y-y_0 = m(x-x_0) +c
where m = slope = -1/2
(x_0,y_0) is the point from which the lines passes through = (5,-3)
We get the equation as,
y-(-3) = -1/2(x-5)
y+3 =
(x-5)
y =
![(-1)/(2) x+(5)/(2)-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y3v7pz98vnwi2aeeh5q8n407lax974t9tx.png)
y =
![(-1)/(2) x+(-1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a5ebij3dvh7z6bc49dat8tm9c6o35h5hep.png)
Hence, m= -1/2 and c = -1/2
Required equations is:
y =
![(-1)/(2) x+(-1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a5ebij3dvh7z6bc49dat8tm9c6o35h5hep.png)