Option C
The standard form of the equation for y + 7 = -2/5(x - 10) is 2x + 5y = -15.
Solution:
Need to determine standard form of equation of line passing through points (-5, -1) and (10, -7) and having slope form as [tex]y+7=-\frac{2}{5}(x-10)[/tex]
Standard form of equation of line is such that terms having variables are on left hand side and constant terms on right hand side.
So let’s simplify given slope form.
[tex]y+7=-\frac{2}{5}(x-10)[/tex]
On opening the brackets we get
[tex]y+7=\frac{-2 x+20}{5}[/tex]
=> 5(y + 7) = -2x +20
=> 5y + 2x = 20 – 35
=> 2x +5y = -15
Hence the standard form is 2x + 5y = -15.
