Answer:
The standard form of the equation is [tex]y = (\frac{2}{5})x-5[/tex]
Step-by-step explanation:
The point is given as (5, -3)
Slope of the equation is 2/5.
The POINT SLOPE form of an equation with slope m and point (x0,y0) is given as y- y0 = m (x- x0)
Here, the equation is given as :
[tex]y - (-3) = = \frac{2}{5} (x-5)\\or, 5(y+3) = 2(x -5)\\\implies 5y + 15 = 2x -10\\or, 5y = 2x - 25\\or, y = \frac{2x}{5}-5[/tex]
Hence the standard form of the equation is [tex]y = (\frac{2}{5})x-5[/tex]
